Vector-like Einstein's equations for D-dimensional spherical gravity with (D-2)-dimensional sphere

Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology

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Scientific paper

We demonstrate how the Einstein's equations for the $D$-dimensional spherical
gravity can be written in the covariant vector-like form. These equations
reveal easily the causal structure of curved spherically symmetric manifolds
and may appear useful in investigation of different models of brane universes.

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