Math @ Duke

Publications [#300017] of Hubert Bray
Papers Published
 Bray, HL; Jauregui, JL; Mars, M, Time Flat Surfaces and the Monotonicity of the Spacetime Hawking Mass II,
Annales Henri PoincarĂ©, vol. 17 no. 6
(June, 2016),
pp. 14571475, Springer Nature, ISSN 14240637 [arXiv:1402.3287 [math.DG]], [3287], [doi]
(last updated on 2021/05/12)
Abstract: 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 quasilocal mass of spacelike 2surfaces in the spacetime.


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