Quasi-Local Mass near the Singularity, the Event Horizon and the Null Infinity of Black Hole Spacetimes

Abstract

The behaviour of geometric quantities close to geometric pathologies of a spacetime is relevant to deduce the physical behaviour of the system. In this work, we compute the quasi-local mass quantities - the Hawking mass, the Brown-York mass and the Liu-Yau mass in the maximal extensions of the spherically symmetric solutions of the Einstein equations inside the black hole region, at the singularity, the event horizon, and the null infinity, in the limiting sense of a geometric flow.

References in corpus (7)

• Quasilocal Energy and Conserved Charges Derived from the Gravitational Action
• Isometric embeddings into the Minkowski space and new quasi-local mass
• The general spherically symmetric constant mean curvature foliations of the Schwarzschild solution
• Spacelike spherically symmetric CMC foliation in the extended Schwarzschild spacetime
• Spacelike spherically symmetric CMC hypersurfaces in Schwarzschild spacetimes (I): Construction
• Quasi-local mass at the null infinity of the Vaidya spacetime
• Four lectures on quasi-local mass