Skip to main content
Journal cover image

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

Publication ,  Journal Article
Bray, HL; Jauregui, JL; Mars, M
Published in: Annales Henri Poincare
June 1, 2016

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.

Duke Scholars

Altmetric Attention Stats
Dimensions Citation Stats

Published In

Annales Henri Poincare

DOI

ISSN

1424-0637

Publication Date

June 1, 2016

Volume

17

Issue

6

Start / End Page

1457 / 1475

Related Subject Headings

  • Mathematical Physics
  • 0202 Atomic, Molecular, Nuclear, Particle and Plasma Physics
  • 0105 Mathematical Physics
 

Citation

APA
Chicago
ICMJE
MLA
NLM
Bray, H. L., Jauregui, J. L., & Mars, M. (2016). Time Flat Surfaces and the Monotonicity of the Spacetime Hawking Mass II. Annales Henri Poincare, 17(6), 1457–1475. https://doi.org/10.1007/s00023-015-0420-2
Bray, H. L., J. L. Jauregui, and M. Mars. “Time Flat Surfaces and the Monotonicity of the Spacetime Hawking Mass II.” Annales Henri Poincare 17, no. 6 (June 1, 2016): 1457–75. https://doi.org/10.1007/s00023-015-0420-2.
Bray HL, Jauregui JL, Mars M. Time Flat Surfaces and the Monotonicity of the Spacetime Hawking Mass II. Annales Henri Poincare. 2016 Jun 1;17(6):1457–75.
Bray, H. L., et al. “Time Flat Surfaces and the Monotonicity of the Spacetime Hawking Mass II.” Annales Henri Poincare, vol. 17, no. 6, June 2016, pp. 1457–75. Scopus, doi:10.1007/s00023-015-0420-2.
Bray HL, Jauregui JL, Mars M. Time Flat Surfaces and the Monotonicity of the Spacetime Hawking Mass II. Annales Henri Poincare. 2016 Jun 1;17(6):1457–1475.
Journal cover image

Published In

Annales Henri Poincare

DOI

ISSN

1424-0637

Publication Date

June 1, 2016

Volume

17

Issue

6

Start / End Page

1457 / 1475

Related Subject Headings

  • Mathematical Physics
  • 0202 Atomic, Molecular, Nuclear, Particle and Plasma Physics
  • 0105 Mathematical Physics