Time Flat Surfaces and the Monotonicity of the Spacetime Hawking Mass
Publication
, Journal Article
Bray, HL; Jauregui, JL
Published in: Communications in Mathematical Physics
April 1, 2015
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.
Duke Scholars
Altmetric Attention Stats
Dimensions Citation Stats
Published In
Communications in Mathematical Physics
DOI
EISSN
1432-0916
ISSN
0010-3616
Publication Date
April 1, 2015
Volume
335
Issue
1
Start / End Page
285 / 307
Related Subject Headings
- Mathematical Physics
- 0206 Quantum Physics
- 0105 Mathematical Physics
- 0101 Pure Mathematics
Citation
APA
Chicago
ICMJE
MLA
NLM
Bray, H. L., & Jauregui, J. L. (2015). Time Flat Surfaces and the Monotonicity of the Spacetime Hawking Mass. Communications in Mathematical Physics, 335(1), 285–307. https://doi.org/10.1007/s00220-014-2162-2
Bray, H. L., and J. L. Jauregui. “Time Flat Surfaces and the Monotonicity of the Spacetime Hawking Mass.” Communications in Mathematical Physics 335, no. 1 (April 1, 2015): 285–307. https://doi.org/10.1007/s00220-014-2162-2.
Bray HL, Jauregui JL. Time Flat Surfaces and the Monotonicity of the Spacetime Hawking Mass. Communications in Mathematical Physics. 2015 Apr 1;335(1):285–307.
Bray, H. L., and J. L. Jauregui. “Time Flat Surfaces and the Monotonicity of the Spacetime Hawking Mass.” Communications in Mathematical Physics, vol. 335, no. 1, Apr. 2015, pp. 285–307. Scopus, doi:10.1007/s00220-014-2162-2.
Bray HL, Jauregui JL. Time Flat Surfaces and the Monotonicity of the Spacetime Hawking Mass. Communications in Mathematical Physics. 2015 Apr 1;335(1):285–307.
Published In
Communications in Mathematical Physics
DOI
EISSN
1432-0916
ISSN
0010-3616
Publication Date
April 1, 2015
Volume
335
Issue
1
Start / End Page
285 / 307
Related Subject Headings
- Mathematical Physics
- 0206 Quantum Physics
- 0105 Mathematical Physics
- 0101 Pure Mathematics