Calculus of Variations and Geometric Measure Theory
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S. Borghini - L. Mazzieri

On the mass of static metrics with positive cosmological constant - I

created by borghini on 07 Apr 2018
modified on 19 May 2018


Published Paper

Inserted: 7 apr 2018
Last Updated: 19 may 2018

Journal: Classical and Quantum Gravity
Volume: 35
Number: 12
Year: 2017
Doi: 10.1088/1361-6382/aac081

ArXiv: 1710.10990 PDF


In this paper we propose and discuss a notion of mass for compact static metrics with positive cosmological constant. As a consequence, we characterise the de Sitter solution as the only static vacuum metric with zero mass. Finally, we show how to adapt our analysis to the case of negative cosmological constant, leading to a uniqueness theorem for the Anti de Sitter spacetime.

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