Boundary sources in the Doran - Lobo - Crawford spacetime

Abstract

We take a null hypersurface (the causal horizon) generated by a congruence of null geodesics as the boundary of the Doran-Lobo-Crawford spacetime, to be the place where the Brown-York quasilocal energy is located. The components of the outer and inner stress tensors are computed and shown to depend on time and on the impact parameter $b$ of the test particle trajectory. The surface energy density $\sigma$ on the boundary is given by the same expression as that obtained previously for the energy stored on a Rindler horizon.

arXiv comment4 pages, title changed, no figures, minor text changes

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Cited by in corpus (2)

• Rindler-type geometry inside a black hole
• On a conformal Schwarzschild-de Sitter spacetime