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Yuichiro Sekiguchi

Publications and source records attributed to Yuichiro Sekiguchi.

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Progenitor models of the electromagnetic transient associated with the short GRB 130603B

An electromagnetic transient powered by the radioactive decay of r-process elements, a so-called kilonova/macronova, is one of the possible observable consequences of compact binary mergers including at east one neutron star. Recent observations strongly suggest the first discovery of the electromagnetic transient, which is associated with the short GRB 130603B. We explore a possible progenitor of this event combining the numerical-relativity simulations and radiative transfer simulations of the dynamical ejecta of binary neutron star and black hole - neutron star mergers. We show that the ejecta models within a realistic parameter range consistently reproduce the observed near-infrared excess. We also show that the soft equation of state models for binary neutron star mergers and the stiff equation of state models for black hole - neutron star mergers are favored to reproduce the observed luminosity.

astro-ph.HE↗

Explicit-Implicit Scheme for Relativistic Radiation Hydrodynamics

We propose an explicit-implicit scheme for numerically solving Special Relativistic Radiation Hydrodynamic (RRHD) equations, which ensures a conservation of total energy and momentum (matter and radiation). In our scheme, 0th and 1st moment equations of the radiation transfer equation are numerically solved without employing a flux-limited diffusion (FLD) approximation. For an hyperbolic term, of which the time scale is the light crossing time when the flow velocity is comparable to the speed of light, is explicitly solved using an approximate Riemann solver. Source terms describing an exchange of energy and momentum between the matter and the radiation via the gas-radiation interaction are implicitly integrated using an iteration method. The implicit scheme allows us to relax the Courant-Friedrichs-Lewy condition in optically thick media, where heating/cooling and scattering timescales could be much shorter than the dynamical timescale. We show that our numerical code can pass test problems of one- and two-dimensional radiation energy transport, and one-dimensional radiation hydrodynamics. Our newly developed scheme could be useful for a number of relativistic astrophysical problems. We also discuss how to extend our explicit-implicit scheme to the relativistic radiation magnetohydrodynamics.

astro-ph.HE↗

Current Status of Numerical-Relativity Simulations in Kyoto

We describe the current status of our numerical simulations for the collapse of a massive stellar core to a BH and the BNS mergers, performed in the framework of full general relativity incorporating finite-temperature EOS and neutrino cooling. For the stellar core collapse simulation, we present the latest numerical results. We employed a purely nucleonic EOS (Shen-EOS). As an initial condition, we adopted a 100 $M_{\odot}$ presupernova model calculated by Umeda and Nomoto. Changing the degree of rotation for the initial condition, we clarify the strong dependence of the outcome of the collapse on this. When the rotation is rapid enough, the shock wave formed at the core bounce is deformed to be a torus-like shape. Then, the infalling matter is accumulated in the central region due to the oblique shock at the torus surface, hitting the PNS and dissipating the kinetic energy there. As a result, outflows can be launched. The PNS eventually collapses to a BH and an accretion torus is formed around it. We also found that the evolution of the BH and torus depends strongly on the rotation initially given. In the BNS merger simulations, we in addition employ an EOS incorporating a degree of freedom for hyperons. The numerical simulations show that for the purely nucleonic EOS, a HMNS with a long lifetime ($\gg 10$ ms) is the outcome for the total mass $M \lesssim 3.0M_{\odot}$. By contrast, the formed HMNS collapses to a BH in a shorter time scale with the hyperonic EOS for $M \gtrsim 2.7M_{\odot}$. It is shown that the typical total neutrino luminosity of the HMNS is $\sim 3$--$10\times 10^{53}$ ergs/s and the effective amplitude of gravitational waves from the HMNS is 2--$6 \times 10^{-22}$ at $f\approx 2$--2.5 kHz for a source distance of 100 Mpc.

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Radiation Magnetohydrodynamics for Black Hole-Torus System in Full General Relativity: A Step toward Physical Simulation

A radiation-magnetohydrodynamic simulation for the black hole-torus system is performed in the framework of full general relativity for the first time. A truncated moment formalism is employed for a general relativistic neutrino radiation transport. Several systems in which the black hole mass is $M_{\rm BH}=3$ or $6M_{\odot}$, the black hole spin is zero, and the torus mass is $\approx 0.14$--$0.38M_{\odot}$ are evolved as models of the remnant formed after the merger of binary neutron stars or black hole-neutron star binaries. The equation of state and microphysics for the high-density and high-temperature matter are phenomenologically taken into account in a semi-quantitative manner. It is found that the temperature in the inner region of the torus reaches $\agt 10$ MeV which enhances a high luminosity of neutrinos $\sim 10^{51}$ ergs/s for $M_{\rm BH}=6M_{\odot}$ and $\sim 10^{52}$ ergs/s for $M_{\rm BH}=3M_{\odot}$. It is shown that neutrinos are likely to be emitted primarily toward the outward direction in the vicinity of the rotational axis and their energy density may be high enough to launch a low-energy short gamma-ray burst via the neutrino-antineutrino pair-annihilation process with the total energy deposition $\sim 10^{47}$--$10^{49}$ ergs. It is also shown in our model that for $M_{\rm BH}=3M_{\odot}$, the neutrino luminosity is larger than the electromagnetic luminosity while for $M_{\rm BH}=6M_{\odot}$, the neutrino luminosity is comparable to or slightly smaller than the electromagnetic luminosity.

astro-ph.HE↗

Gravitational waves, neutrino emissions, and effects of hyperons in binary neutron star mergers

Numerical simulations for the merger of binary neutron stars are performed in full general relativity incorporating both nucleonic and hyperonic finite-temperature equations of state (EOS) and neutrino cooling. It is found that for the nucleonic and hyperonic EOS, a hyper massive neutron star (HMNS) with a long lifetime $(t_{\rm life}\gtrsim 10 {\rm ms})$ is the outcome for the total mass $\approx 2.7 M_\odot$. For the total mass $\approx 3 M_\odot$, a long-lived (short-lived with $t_{\rm life}\approx 3 {\rm ms}$) HMNS is the outcome for the nucleonic (hyperonic) EOS. It is shown that the typical total neutrino luminosity of the HMNS is $\sim 3$ -- $6 \times 10^{53} {\rm erg /s}$ and the effective amplitude of gravitational waves from the HMNS is 1 -- $4\times 10^{-22}$ at $f\approx 2$ -- $3.2 {\rm kHz}$ for a source of distance of 100 Mpc. During the HMNS phase, characteristic frequencies of gravitational waves shift to a higher frequency for the hyperonic EOS in contrast to the nucleonic EOS in which they remain constant approximately. Our finding suggests that the effects of hyperons are well imprinted in gravitational wave and its detection will give us a potential opportunity to explore the composition of the neutron star matter. We present the neutrino luminosity curve when a black hole is formed as well.

astro-ph.HE↗

Effects of hyperons in binary neutron star mergers

Numerical simulations for the merger of binary neutron stars are performed in full general relativity incorporating both nucleonic and hyperonic finite-temperature equations of state (EOS) and neutrino cooling for the first time. It is found that even for the hyperonic EOS, a hypermassive neutron star is first formed after the merger for the typical total mass $\approx$ 2.7M\bigodot, and subsequently collapses to a black hole (BH). It is shown that hyperons play a substantial role in the post-merger dynamics, torus formation around the BH, and emission of gravitational waves (GWs). In particular, the existence of hyperons is imprinted in GWs. Therefore, GW observations will provide a potential opportunity to explore the composition of the neutron star matter.

astro-ph.HE↗

Gravitational waves and neutrino emission from the merger of binary neutron stars

Numerical simulations for the merger of binary neutron stars are performed in full general relativity incorporating a finite-temperature (Shen's) equation of state (EOS) and neutrino cooling for the first time. It is found that for this stiff EOS, a hypermassive neutron star (HMNS) with a long lifetime ($\gg 10$ ms) is the outcome for the total mass $\alt 3.0M_{\odot}$. It is shown that the typical total neutrino luminosity of the HMNS is $\sim 3$--$8\times 10^{53}$ ergs/s and the effective amplitude of gravitational waves from the HMNS is 4--$6 \times 10^{-22}$ at $f=2.1$--2.5 kHz for a source distance of 100 Mpc. We also present the neutrino luminosity curve when a black hole is formed for the first time.

gr-qc↗

Formation of black hole and accretion disk in a massive high-entropy stellar core collapse

We present the first numerical result of fully general relativistic axisymmetric simulations for the collapse of a rotating high-entropy stellar core to a black hole and an accretion disk. The simulations are performed taking into account the relevant microphysics. We adopt as initial condition a spherical core with constant electron fraction ($Y_e = 0.5$) and entropy per baryon $s$ = 8 $k_B$, and angular velocity is superimposed. In the early phase, the core collapses in a homologous manner. Then, it experiences a weak bounce due to the gas pressure of free nucleons. Because the bounce is weak, the core collapses eventually to a black hole. Subsequent evolution depends on initial angular velocity. When the rotation is not fast, a geometrically thin (but optically thick) accretion disk is formed, and shock waves are formed in the inner part of the disk. For the moderately rotating case, the thin accretion disk expands eventually to be a geometrically thick torus after sufficient accumulation of the thermal energy generated at the shocks. Furthermore, convection occurs inside the torus. Neutrino luminosities vary violently with time because of the convective motion. For the rapidly rotating case, by contrast, a geometrically thick torus is formed soon after the black hole formation, and convective activity is weak due to the presence of epicyclic mode.

astro-ph.HE↗

An implementation of the microphysics in full general relativity : General relativistic neutrino leakage scheme

Performing fully general relativistic simulations taking account of microphysical processes is one of long standing problems in numerical relativity. One of main difficulties in implementation of weak interactions in the general relativistic framework lies on the fact that the characteristic timescale of weak interaction processes (the WP timescale) in hot dense matters is much shorter than the dynamical timescale. Numerically this means that stiff source terms appears in the equations so that an implicit scheme is in general necessary to stably solve the relevant equations. Otherwise a very short timestep will be required to solve them explicitly. Furthermore, in the relativistic framework, the Lorentz factor is coupled with the rest mass density and the energy density. The specific enthalpy is also coupled with the momentum. Due to these couplings, it is very complicated to recover the primitive variables and the Lorentz factor from conserved quantities. At the current status, no implicit procedure have been proposed except for the case of the spherical symmetry. Therefore, an approximate, explicit procedure is developed in the fully general relativistic framework in this paper as an first implementation of the microphysics toward a more realistic sophisticated model. The procedure is based on the so-called neutrino leakage schemes which is based on the property that the characteristic timescale in which neutrinos leak out of the system (the leakage timescale) is much longer than the WP timescale. In this paper, I present a detailed neutrino leakage scheme and a simple and stable method for solving the equations explicitly in the fully general relativistic framework. I also perform a test simulation to check the validity of the present method, showing that it works fairly well.

astro-ph.HE↗

Stellar core collapse in full general relativity with microphysics - Formulation and Spherical collapse test -

One of the longstanding issues in numerical relativity is to enable a simulation taking account of microphysical processes (e.g., weak interactions and neutrino cooling). We develop an approximate and explicit scheme in the fully general relativistic framework as a first implementation of the microphysics toward a more realistic and sophisticated modeling. In this paper, we describe in detail a method for implementation of a realistic equation of state, the electron capture and the neutrino cooling in a multidimensional, fully general relativistic code. The procedure is based on the so-called neutrino leakage scheme. To check the validity of the code, we perform a two dimensional (2D) simulation of spherical stellar core collapse. Until the convective activities set in, our results approximately agree, or at least are consistent, with those in the previous so-called state-of-the-art simulations. In particular, the radial profiles of thermodynamical quantities and the time evolution of the neutrino luminosities agree quantitatively. The convection is driven by negative gradients of the entropy per baryon and the electron fraction as in the previous 2D Newtonian simulations. We clarify which gradient is more responsible for the convection. Gravitational waves from the convection are also calculated. We find that the characteristic frequencies of the gravitational-wave spectra are distributed for higher frequencies than those in Newtonian simulations due to the general relativistic effects.

astro-ph.HE↗

Exploring binary-neutron-star-merger scenario of short-gamma-ray bursts by gravitational-wave observation

We elucidate the feature of gravitational waves (GWs) from binary neutron star merger collapsing to a black hole by general relativistic simulation. We show that GW spectrum imprints the coalescence dynamics, formation process of disk, equation of state for neutron stars, total masses, and mass ratio. A formation mechanism of the central engine of short $γ$-ray bursts, which are likely to be composed of a black hole and surrounding disk, therefore could be constrained by GW observation.

astro-ph.HE↗

Longterm general relativistic simulation of binary neutron stars collapsing to a black hole

General relativistic simulations for the merger of binary neutron stars are performed as an extension of a previous work\cite{Shibata:2006nm}. We prepare binary neutron stars with a large initial orbital separation and employ the moving-puncture formulation, which enables to follow merger and ringdown phases for a long time, even after black hole formation. For modeling inspiraling neutron stars, which should be composed of cold neutron stars, the Akmal-Pandhalipande-Ravenhall (APR) equation of state (EOS) is adopted. After the onset of the merger, the hybrid-type EOS is used; i.e., the cold and thermal parts are given by the APR and $Γ$-law EOSs, respectively. Three equal-mass binaries each with mass $1.4M_\odot,1.45M_\odot,1.5M_\odot$ and two unequal-mass binaries with mass 1.3--$1.6M_\odot$, 1.35--$1.65M_\odot$ are prepared. We focus primarily on the black hole formation case, and explore mass and spin of the black hole, mass of disks which surround the black hole, and gravitational waves emitted during the black hole formation. We find that (i) for the systems of $m_0=2.9$--$3.0M_\odot$ and of mass ratio $\approx 0.8$, the mass of disks which surround the formed black hole is 0.006--$0.02M_{\odot}$; (ii) the spin of the formed black hole is $0.78 \pm 0.02$ when a black hole is formed after the merger in the dynamical time scale. This value depends weakly on the total mass and mass ratio, and is about 0.1 larger than that of a black hole formed from nonspinning binary black holes; (iii) for the black-hole formation case, Fourier spectrum shape of gravitational waves emitted in the merger and ringdown phases has a universal qualitative feature irrespective of the total mass and mass ratio, but quantitatively, the spectrum reflects the parameters of the binary neutron stars.

gr-qc↗

A Formation Mechanism of Collapsar Black Hole -- early evolution phase

The latest studies of massive star evolution indicate that an initially rapidly rotating star with sufficiently low metallicity can produce a rapidly rotating, massive stellar core that could be a progenitor of long-soft gamma-ray bursts (LGRBs). Motivated by these studies, we follow the collapse of a rapidly rotating massive stellar core to a 'collapsar' black hole (BH) surrounded by a massive, hot accretion disk performing fully general relativistic simulations. We focus on the general relativistic dynamics of the collapse, and the relevant microphysics is treated in a qualitative manner. The simulations are performed until the system consisting of the BH and the disk has relaxed to a quasi-stationary state. A novel mechanism found in this study is that strong shock waves are formed at the inner part of the disk after the formation of the BH. These shock waves propagate mainly along the rotation axis, heating the disk and sweeping materials around the rotational axis, and thereby forming a low density region. The temperature of the disk is high enough for copious neutrino emission. All these features indicate that the direct formation of a rapidly rotating BH is a promising source of LGRBs even in the absence of strong magnetic fields.

astro-ph↗