Perturbations of a Universe Filled with Dust and Radiation
Z. Perjés, A. Komárik
Abstract
A first-order perturbation approach to k=0 Friedmann cosmologies filled with dust and radiation is developed. Adopting the coordinate gauge comoving with the perturbed matter, and neglecting the vorticity of the radiation, a pair of coupled equations is obtained for the trace h of the metric perturbations and for the velocity potential v. A power series solution with upwards cutoff exists such that the leading terms for large values of the dimensionless time ξ agree with the relatively growing terms of the dust solution of Sachs and Wolfe.
Create a lesson
Related papers
An exact rotating black hole solution in Palatini Kalb-Ramond gravity
A. A. Araújo Filho
Internal translation gauging and local gravitational energy in Weyl gauge theory
Michael Hobson, Will Barker, Anthony Lasenby
Bessel-Hagen currents, reducibility charges, and local gravitational energy
Michael Hobson, Will Barker, Anthony Lasenby
Relativistic dynamical friction in Kerr-Schild coordinates
Zipeng Wang, Francesca Chadha-Day, Katy Clough et al.
The School on Gravity: from motion to commotion
Vitor Cardoso, Jose María Ezquiaga, Julio Parra-Martinez et al.
Binary Ellis-Bronnikov wormholes in 3+1 numerical relativity: mergers, fly-bys and gravitational waves
Nikita M. Shirokov, Ilya Nachevsky