arXiv subjects

Arthur Kosowsky

Publications and source records attributed to Arthur Kosowsky.

170 records · Page 10Linked to original sources

arXiv1995

Weighing the Universe with the Cosmic Microwave Background

Variations in $Ω$, the total density of the Universe, leave a clear and distinctive imprint on the power spectrum of temperature fluctuations in the cosmic microwave background (CMB). This signature is virtually independent of other cosmological parameters or details of particular cosmological models. We evaluate the precision with which $Ω$ can be determined by a CMB map as a function of sky coverage, pixel noise, and beam size. For example, assuming only that the primordial density perturbations were adiabatic and with no prior information on the values of any other cosmological parameters, a full-sky CMB map at $0.5^\circ$ angular resolution and a noise level of $15\,μ{\rm K}$ per pixel can determine $Ω$ with a variance of 5\%. If all other cosmological parameters are fixed, $Ω$ can be measured to better than 1\%.

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arXiv1995

CBR Anisotropy and the Running of the Scalar Spectral Index

Accurate ($\lesssim 1\% $) predictions for the anisotropy of the Cosmic Background Radiation (CBR) are essential for using future high-resolution ($\lesssim 1^\circ$) CBR maps to test cosmological models. In many inflationary models the variation (``running'') of the spectral index of the spectrum of density perturbations is a significant effect and leads to changes of around 1\% to 10\% in the CBR power spectrum. We propose a general method for taking running into account which uses the derivative of the spectral index ($dn/d\ln k$). Conversely, high-resolution CBR maps may be able to determine $dn/d\ln k$, giving important information about the inflationary potential.

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arXiv1995

Cosmic Microwave Background Polarization

Polarization of the cosmic microwave background, though not yet detected, provides a source of information about cosmological parameters complementary to temperature fluctuations. This paper provides a complete theoretical treatment of polarization fluctuations. After a discussion of the physics of polarization, the Boltzmann equation governing the evolution of the photon density matrix is derived from quantum theory and applied to microwave background fluctuations, resulting in a complete set of transport equations for the Stokes parameters from both scalar and tensor metric perturbations. This approach is equivalent at lowest order in scattering kinematics to classical radiative transfer, and provides a general framework for treating the cosmological evolution of density matrices. The metric perturbations are treated in the physically appealing longitudinal gauge. Expressions for various temperature and polarization correlation functions are derived. Detection prospects and theoretical utility of microwave background polarization are briefly discussed.

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arXiv1994

Noise Correlation in Cosmic Microwave Background Experiments

Many analyses of microwave background experiments neglect the correlation of noise in different frequency or polarization channels. We show that these correlations, should they be present, can lead to severe misinterpretation of an experiment. In particular, correlated noise arising from either electronics or atmosphere may mimic a cosmic signal. We quantify how the likelihood function for a given experiment varies with noise correlation, using both simple analytic models and actual data. For a typical microwave background anisotropy experiment, noise correlations at the level of 1\% of the overall noise can seriously {\it reduce} the significance of a given detection.

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arXiv1994

Analysis of Small and Medium-Scale Cosmic Microwave Background Experiments

Anisotropies in the temperature of the cosmic microwave background have been detected on a range of scales by several different experiments. These anisotropies reflect the primordial spectrum of metric perturbations in the early universe. In principle, the largest barrier to a clean interpretation of the experimental results is contamination by foreground sources. We address this issue by projecting out likely sources of foreground contamination {}from seven separate small-angle and medium-angle experiments. We then calculate likelihood functions for models with adiabatic perturbations, first for the amplitude of the spectrum while constraining the spectral index to be $n=1$, and then jointly for the amplitude and spectrum of the fluctuations. All of the experiments are so far consistent with the simplest inflationary models; for $n=1$ the experiments' combined best-fit quadrupole amplitude is $Q_{\rm rms-ps}= 18^{+3}_{-1} \,\,μK$, in excellent agreement with the COBE two-year data. In ($Q_{\rm rms-ps}$, n) space, the allowed region incorporating intermediate and small-scale experiments is substantially more constrained than {}from COBE alone. We briefly discuss the expected improvement in the data in the near future and corresponding constraints on cosmological models.

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arXiv1993

Primordial Nucleosynthesis in Conformal Weyl Gravity

Recently conformal Weyl gravity has been considered as a candidate alternative gravity theory. This fourth-order theory is attractive because it is the only metric theory of gravity which is invariant under local conformal transformations of the metric. We calculate the primordial light element abundances in this theory. The major difference {}from the standard cosmology is that the universe expands far more slowly throughout the nucleosynthesis epoch. The production of $^4\rm{He}$ depends strongly on $η$, the ratio of baryons to photons. For $η= 10^{-8}$ the mass fraction of $^4{\rm He}$ is $X_4 \simeq 0.25$ and the number densities relative to hydrogen for $^2{\rm H}$, $^3{\rm He}$ and $^7{\rm Li}$ are $n(^2{\rm H})/n({\rm H}) \simeq 9\times 10^{-20}$, $n(^3{\rm He})/n({\rm H})\simeq 4 \times 10^{-18}$ and $n(^7{\rm Li})/n({\rm H}) \simeq 10^{-13}$. This value of $η$ corresponds to a baryon mass density close to the standard model critical density. However, adjusting $η$ to give a reasonable helium yield forces the deuterium and lithium yields to be small enough that the theory cannot be reconciled with observations.

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arXiv1993

Gravitational Radiation from First-Order Phase Transitions

We consider the stochastic background of gravity waves produced by first-order cosmological phase transitions from two types of sources: colliding bubbles and hydrodynamic turbulence. First we discuss the fluid mechanics of relativistic spherical combustion. We then numerically collide many bubbles expanding at a velocity $v$ and calculate the resulting spectrum of gravitational radiation in the linearized gravity approximation. Our results are expressed as simple functions of the mean bubble separation, the bubble expansion velocity, the latent heat, and the efficiency of converting latent heat to kinetic energy of the bubble walls. We also estimate the gravity waves produced by a Kolmogoroff spectrum of turbulence and find that the characteristic amplitude of gravity waves produced is comparable to that from bubble collisions. Finally, we apply these results to the electroweak transition. Using the one-loop effective potential for the minimal electroweak model, the characteristic amplitude of gravity waves produced is $h\simeq 1.5\times 10^{-27}$ at a characteristic frequency of $4.1\times 10^{-3} \,\rm Hz$ corresponding to $Ω\sim10^{-22}$ in gravity waves, far too small for detection. Gravity waves from more strongly first-order phase transitions, including the electroweak transition in non-minimal models, have better prospects for detection, though probably not by LIGO.

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arXiv1992

Gravitational Radiation from Colliding Vacuum Bubbles: Envelope Approximation to Many-Bubble Collisions

We introduce an approximation to calculate the gravitational radiation produced by the collision of true-vacuum bubbles that is simple enough to allow the simulation of a phase transition by the collision of hundreds of bubbles. This ``envelope approximation'' neglects the complicated ``overlap'' regions of colliding bubbles and follows only the evolution of the bubble walls. The approximation accurately reproduces previous results for the gravitational radiation from the collision of two scalar-field vacuum bubbles. Using a bubble nucleation rate given by $Γ= Γ_0 e^{βt}$, we simulate a phase transition by colliding 20 to 200 bubbles; the fraction of vacuum energy released into gravity waves is $E_{\rm GW}/E_{\rm vac} = 0.06(H/β)^2$ and the peak of the spectrum occurs at $ω_{\rm max}=1.6β$ ($H^2=8πGρ/3$ is the Hubble constant associated with the false-vacuum phase). The spectrum is very similar to that in the two-bubble case, except that the efficiency of gravity-wave generation is about five times higher, presumably due to the fact that a given bubble collides with many others. Finally, we consider two further ``statistical'' approximations, where the gravitational radiation is computed as an incoherent sum over individual bubbles weighted by the distribution of bubble sizes. These approximations provide reasonable estimates of the gravitational-wave spectrum with far less computation.

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