Lemaitre-Tolman-Bondi model of the universe and Hawking radiation of a dynamical horizon

Details Lemaitre-Tolman-Bondi model of the universe and Hawking radiation of a dynamical horizon Lemaitre-Tolman-Bondi model of the universe and Hawking radiation of a dynamical horizon

2011-06-12

arxiv.org/abs/1106.2286v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

10 pages

Scientific paper

The paper deals with anisotropic spherically symmetric Lemaitre-Tolman-Bondi model of the universe bounded by the apparent horizon. Using Hamilton-Jacobi method for both massive and massless test particles, we are able to show that the temperature associated with the apparent horizon due to Hawking radiation is the usual Hawking Temperature. Also the usual Lemaitre-Tolman-Bondi model and the transformed r-gauge Lemaitre-Tolman-Bondi model are shown to be equivalent. Finally, the results of Tunneling approach agree with the Hamiltonian-Jacobi method.

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