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Publications [#300016] of Hubert Bray

Papers Published

  1. 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. 285-307, Springer Nature, ISSN 0010-3616 [arXiv:1310.8638 [math.DG]], [8638], [doi]
    (last updated on 2019/07/16)

    Abstract:
    © 2014, Springer-Verlag Berlin Heidelberg. We identify a condition on spacelike 2-surfaces 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 so-called “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 quasi-local mass of a spacelike 2-surface contained therein.

 

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