Boundary sources in the Doran-Lobo-Crawford spacetime |
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Authors: | Hristu Culetu |
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Institution: | (1) Department of Physics B-dul Mamaia 124, Ovidius University, 8700 Constanta, Romania |
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Abstract: | We take a null hypersurface (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 spacetime is a solution of Einstein’s equations with an anisotropic fluid as source.
The surface energy density σ on the boundary is given by the same expression as that obtained previously for the energy stored on a Rindler horizon. For
time intervals long compared to b (when the stretched horizon tends to the causal one), the components of the stress tensors become constant.
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Keywords: | causal horizon boundary stress tensor null geodesic anisotropic fluid extrinsic curvature |
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