In a renowned paper, Lee and Neves proved a Penrose inequality for spacetimes with negative cosmological constant and nonpositive mass aspect. As an application, they were able to obtain a static uniqueness theorem for Kottler spacetimes with nonpositive mass. In this paper, we propose an alternative more elementary proof of this static uniqueness result and we discuss some possible generalizations, most notably to degenerate horizons.
Borghini, S. (2022). Static Black Hole Uniqueness for nonpositive masses. NONLINEAR ANALYSIS, 220(July 2022) [10.1016/j.na.2022.112843].
Static Black Hole Uniqueness for nonpositive masses
Borghini S.
Primo
2022
Abstract
In a renowned paper, Lee and Neves proved a Penrose inequality for spacetimes with negative cosmological constant and nonpositive mass aspect. As an application, they were able to obtain a static uniqueness theorem for Kottler spacetimes with nonpositive mass. In this paper, we propose an alternative more elementary proof of this static uniqueness result and we discuss some possible generalizations, most notably to degenerate horizons.
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