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Marek Rogatko

Publications and source records attributed to Marek Rogatko.

At least 73 records · Page 4Linked to original sources
arXiv2012

Can Dirac fermions Destroy Yang-Mills Black Hole?

We study the four-dimensional Einstein-Yang-Mills black hole in the presence of Dirac fermion field. Assuming a spherically symmetric static asymptotically flat black hole spacetime we consider both massless and massive fermion fields. The (4+1)-dimensional Einstein-Yang-Mills system effectively reducing to Einstein-Yang-Mills-Higgs-dilaton model, was also taken into account. One finds that fermion vacuum leads to the destruction of black holes in question.

hep-th↗
arXiv2012

Superconducting Hair on Charged Black String Background

Behaviour of Dirac fermions in the background of a charged black string penetrated by an Abelian Higgs vortex is elaborated. One finds the evidence that the system under consideration can support fermion fields acting like a superconducting cosmic string in the sence that a nontrivial Dirac fermion field can be carried by the system in question. The case of nonextremal and extremal black string vortex systems were considered. The influence of electric and Higgs charge, the winding number and the fermion mass on the fermion localization near the black string event horizon was studied. It turned out that the extreme charged black string expelled fermion fields more violently comparing to the nonextremal one.

hep-th↗
arXiv2012

Neutrino Oscillations in Strong Gravitational Fields

Neutrinos do oscillate, which up to our best knowledge implies that they are massive particles. As such, neutrinos should interact with gravitational fields. As their masses are tiny, the gravitational fields must be extremely strong. In this paper we study the influence of black holes described by non-trivial topologies on the neutrino oscillations. We present approximate analytical and numerical solutions of certain specific cases.

hep-ph↗
arXiv2011

Euclidean Dilaton Black Hole Vortex and Dirac Fermions

We considered the behaviour of Dirac fermion modes in the background of Euclidean dilaton black hole with an Abelian Higgs vortex passing through it. Fermions were coupled to the fields due to the superconducting string model. The case of nonextremal and extremal charged black hole in the theory with arbitrary coupling constant between dilaton field and U(1)-gauge field were considered. We elaborated the cases of zero and non-zero Dirac fermion modes. One finds the evidence that the system under consideration can support fermion fields acting like superconducting hair on black hole in the sence that nontrivial spinor field configuration can be carried by Euclidean spherically symmetric charged dilaton black hole. It was revealed that the localization of Dirac fermion modes depended on the cosmic string winding number and the value of black hole surface gravity.

hep-th↗
arXiv2011

Collapse of Charged Scalar Field in Dilaton Gravity

We elaborated the gravitational collapse of a self-gravitating complex charged scalar field in the context of the low-energy limit of the string theory, the so-called dilaton gravity. We begin with the regular spacetime and follow the evolution through the formation of an apparent horizon and the final central singularity.

hep-th↗
arXiv2010

Dirac Fermions in Non-trivial Topology Black Hole Backgrounds

We discuss the behaviour of the Dirac fermions in a general spherically symmetric black hole background with a non-trivial topology of the event horizon. Both massive and massless cases are taken into account. The analytical studies of intermediate and late-time behaviour of massive Dirac hair in the background of a black hole with a global monopole and dilaton black hole pierced by a cosmic string will be conducted. It was revealed that in the case of a global monopole swallowed by a static black hole the intermediate late-time behaviour depends on the mass of the Dirac field, the multiple number of the wave mode and the global monopole parameter. The late-time behaviour is quite independent of these factors and has the decay rate proportional to $t^{-5/6}$. As far as the black hole pierced by a cosmic string is concerned the intermediate late-time behaviour depends only on the hair mass and the multipole number of the wave mode while the late-time behaviour dependence is the same as in the previous case. The main modification stems from the topology of the $S^2$ sphere pierced by a cosmic string. This factor modifies the eigenvalues of the Dirac operator acting on the transverse manifold.

hep-th↗
arXiv2009

First Law of p-brane Thermodynamics

We study the physical process version and the equilibrium state version of the first law of thermodynamics for a charged p-brane. the general setting for our investigations is (n+p+1)-dimensional Einstein dilaton gravity with (p+2) strength form fields.

hep-th↗
arXiv2009

Influence of a Brane Tension on Phantom and Massive Scalar Field Emission

We elaborate the signature of the extra dimensions and brane tension in the process of phantom and massive scalar emission in the spacetime of (4+n)-dimensional tense brane black hole. Absorption cross section, luminosity of Hawking radiation and cross section in the low-energy approximation were found. We envisage that parameter connected with the existence of a brane imprints its role in the Hawking radiation of the considered fields.

hep-th↗
arXiv2009

Massive Fermion Emission from Higher Dimensional Black Holes

We study the effect of extra dimensions on the process of massive Dirac fermion emission in the spacetime of (4+n)-dimensional black hole, by examining the Dirac operator in arbitrary spacetime dimension. We comment on both bulk and brane emission and find absorption cross section and luminosity of Hawking radiation in the low-energy approximation.

hep-th↗
arXiv2008

Evolution of Massive Scalar Fields in the Spacetime of a Tense Brane Black Hole

In the spacetime of a $d$-dimensional static tense brane black hole we elaborate the mechanism by which massive scalar fields decay. The metric of a six-dimensional black hole pierced by a topological defect is especially interesting. It corresponds to a black hole residing on a tensional 3-brane embedded in a six-dimensional spacetime, and this solution has gained importance due to the planned accelerator experiments. It happened that the intermediate asymptotic behaviour of the fields in question was determined by an oscillatory inverse power-law. We confirm our investigations by numerical calculations for five- and six-dimensional cases. It turned out that the greater the brane tension is, the faster massive scalar fields decay in the considered spacetimes.

hep-th↗
arXiv2008

Decay of Dirac Massive Hair in the Background of Spherical Black Hole

The intermediate and late-time behaviour of massive Dirac hair in the static spherically symmetric black hole spacetime was studied. It was revealed that the intermediate asymptotic pattern of decay of massive Dirac spinor hair is dependent on the mass of the field under consideration as well as the multiple number of the wave mode. The long-lived oscillatory tail observed at timelike infinity in the considered background decays slowly as t^{-5/6}.

hep-th↗
arXiv2008

Decay of Massive Dirac Hair on a Brane-World Black Hole

We investigate the intermediate and late-time behaviour of the massive Dirac spinor field in the background of static spherically symmetric brane-world black hole solutions. The intermediate asymptotic behaviour of the massive spinor field exhibits a dependence on the field's parameter mass as well as the multiple number of the wave mode. On the other hand, the late-time behaviour power law decay has a rate which is independent of those factors.

hep-th↗
arXiv2008

The Decay of Dirac Hair around a Dilaton Black Hole

The intermediate and late-time behaviour of a massive Dirac field in the background of static spherically symmetric black hole solutions is investigated. The intermediate asymptotic behaviour of a massive Dirac field depends on the mass parameter as well as the wave number of the mode, while the late time behaviour has a power law decay rate independent of both.

hep-th↗
arXiv2007

Decay of massive hair on brane black hole

We study analytically the intermediate and late-time behaviour of the massive scalar field in the background of static spherically symmetric brane black hole solutions. The intermediate behavoiur of the scalar field reveals the dependence on the field's parameter mass as well as the multiple moment l, while the late-time behaviour has the power-law decay rate independent of those factors.

hep-th↗
arXiv2007

First Law of Black Saturn Thermodynamics

The physical version and equilibrium state version of the first law of thermodynamics for a black object consisting of n-dimensional charged stationary axisymmetric black hole surrounded by $a$ black rings, the so-called black Saturn was derived. The general setting for our derivation is n-dimensional dilaton gravity with p + 1 strength form fields.

hep-th↗
arXiv2007

Decay of massive scalar hair in the background of a dilaton gravity black hole

We invesigate analytically both the intermediate and late-time behaviour of the massive scalar field in the background of static spherically symmetric black hole solution in dilaton gravity with arbitrary coupling constant. The intermediate asymptotic behaviour of scalar field depends on the field's parameter mass as well as the multiple number l. On its turn, the late-time behaviour has the power law decay rate independent on coupling constant in the theory under consideration.

hep-th↗