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Warped products and Reissner-Nordstrom metric

Soon-Tae Hong·Jaedong Choi·Young-Jai Park
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Abstract

We study a multiply warped products manifold associated with the Reissner-Nordstrom metric to investigate the physical properties inside the black hole event horizons. It is shown that, different from the uncharged Schwarzschild metric, the Ricci curvature components inside the Reissner-Nordstrom black hole horizons are nonvanishing, while the Einstein scalar curvature vanishes even in the interior of the charged metric. Introducing a perfect fluid inside the Reissor-Nordstrom black hole, it is also shown that the charge plays effective roles of decreasing the mass-energy density and the pressure of the fluid inside the black hole.

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Soon-Tae Hong, Jaedong Choi, Young-Jai Park. 2002-04-23. Warped products and Reissner-Nordstrom metric. https://arxiv.org/abs/math/0204273

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