Math @ Duke

Publications [#300016] of Hubert Bray
Papers Published
 Bray, HL; Jauregui, JL, Time Flat Surfaces and the Monotonicity of the Spacetime Hawking Mass,
Communications in Mathematical Physics, vol. 335 no. 1
(January, 2015),
pp. 285307, Springer Nature, ISSN 00103616 [arXiv:1310.8638 [math.DG]], [8638], [doi]
(last updated on 2019/07/16)
Abstract: © 2014, SpringerVerlag Berlin Heidelberg. We identify a condition on spacelike 2surfaces in a spacetime that is relevant to understanding the concept of mass in general relativity. We prove a formula for the variation of the spacetime Hawking mass under a uniformly area expanding flow and show that it is nonnegative for these socalled “time flat surfaces.” Such flows generalize inverse mean curvature flow, which was used by Huisken and Ilmanen to prove the Riemannian Penrose inequality for one black hole. A flow of time flat surfaces may have connections to the problem in general relativity of bounding the mass of a spacetime from below by the quasilocal mass of a spacelike 2surface contained therein.


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