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arXiv · 1001.2395

Existence of horizons in Robinson-Trautman spacetimes of arbitrary dimension

Otakar Svitek
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Abstract

We derive the higher dimensional generalization of Penrose-Tod equation describing past horizon in Robinson-Trautman spacetimes with a cosmological constant and pure radiation. Results for D=4 dimensions are summarized. Existence of its solutions in D>4 dimensions is proved using tools for nonlinear elliptic partial differential equations.

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Otakar Svitek. 2010-01-14. Existence of horizons in Robinson-Trautman spacetimes of arbitrary dimension. https://doi.org/10.1142/9789814374552_0136

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