Calculus of Variations and Geometric Measure Theory
home | mail | papers | authors | news | seminars | events | open positions | login

S. Borghini - L. Mazzieri

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

created by borghini on 07 Apr 2018

[BibTeX]

preprint

Inserted: 7 apr 2018

Year: 2017

ArXiv: 1710.10990 PDF

Abstract:

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.

Credits | Cookie policy | HTML 5 | CSS 2.1