Time dependent embedding of spherically symmetric Rindler spacetime

Details Time dependent embedding of spherically symmetric Rindler spacetime Time dependent embedding of spherically symmetric Rindler spacetime

2012-02-20

arxiv.org/abs/1202.4296v2

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

8 pages, no figures, chap. 3 enlarged

Scientific paper

An anisotropic cosmic fluid with radial heat flux which sources a time dependent Rindler geometry is investigated. Even though its energy density $\rho$ is positive, the radial and transversal pressures are negative and the strong energy condition is not satisfied. The congruence of "static" observers is not geodesic and the heat flux is oriented outward. We computed the Misner-Sharp energy associated to the curved Rindler metric embedded in a spatially flat FLRW universe and found that the Weyl energy is vanishing thanks to the conformally flat form of the spacetime.

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