Time Flat Surfaces and the Monotonicity of the Spacetime Hawking Mass II

Journal Article (Journal Article)

In this sequel paper, we give a shorter, second proof of the monotonicity of the Hawking mass for time flat surfaces under spacelike uniformly area expanding flows in spacetimes that satisfy the dominant energy condition. We also include a third proof which builds on a known formula and describe a class of sufficient conditions of divergence type for the monotonicity of the Hawking mass. These flows of surfaces may have connections to the problem in general relativity of bounding the total mass of a spacetime from below by the quasi-local mass of spacelike 2-surfaces in the spacetime.

Full Text

Duke Authors

Cited Authors

  • Bray, HL; Jauregui, JL; Mars, M

Published Date

  • June 1, 2016

Published In

Volume / Issue

  • 17 / 6

Start / End Page

  • 1457 - 1475

International Standard Serial Number (ISSN)

  • 1424-0637

Digital Object Identifier (DOI)

  • 10.1007/s00023-015-0420-2

Citation Source

  • Scopus