Warped products and black holes

Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology

Scientific paper

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6 pages

Scientific paper

10.1393/ncb/i2005-10150-0

We apply the warped product spacetime scheme to the
Banados-Teitelboim-Zanelli black holes and the Reissner-Nordstr\"om-anti-de
Sitter black hole to investigate their interior solutions in terms of warped
products. It is shown that there exist no discontinuities of the Ricci and
Einstein curvatures across event horizons of these black holes.

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