Positive Energy for Asymptotically Anti-de Sitter Schwarzschild Spacetimes

TL;DR

This paper establishes a simple positive mass theorem for asymptotically Anti-de Sitter Schwarzschild spacetimes using causal structure arguments, contributing to the understanding of energy positivity in these geometries.

Contribution

It provides a new, straightforward proof of the positive energy theorem specifically for asymptotically Anti-de Sitter Schwarzschild spacetimes, with plans for a more general result.

Findings

Positive mass theorem proven for A-de-S Schwarzschild spacetimes

Causal structure arguments used for proof

Framework set for broader asymptotically A-de-S spacetimes

Abstract

Within the general class of Asymptotically Anti-de Sitter spacetimes that are asymptotic to the A-de-S Schwarzschild metric, we give a simple positive mass theorem based on arguments from causal structure. A general result for all asymptotically A-de-S spacetimes will be given elsewhere.