Journal of the American Mathematical Society

Author(s): Chiu-Chu Melissa Liu; Shing-Tung Yau
Journal: J. Amer. Math. Soc. 19 (2006), 181-204.
MSC (2000): Primary 83C99; Secondary 53C21, 53C27
Posted: July 12, 2005
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We prove the following stronger version of the positivity of quasi-local energy (mass) stated by Liu and Yau: the quasi-local energy of each connected component of the boundary of a compact spacelike hypersurface which satisfies the local energy condition is strictly positive unless the spacetime is flat along the spacelike hypersurface and the boundary of the spacelike hypersurface is connected.

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Retrieve articles in Journal of the American Mathematical Society with MSC (2000): 83C99, 53C21, 53C27

Chiu-Chu Melissa Liu
Affiliation: Department of Mathematics, Harvard University, Cambridge, Massachusetts 02138
Address at time of publication: Department of Mathematics, Northwestern University, Evanston, Illinois 60208
Email: ccliu@math.harvard.edu, ccliu@math.northwestern.edu

Shing-Tung Yau
Affiliation: Department of Mathematics, Harvard University, Cambridge, Massachusetts 02138
Email: yau@math.harvard.edu

DOI: 10.1090/S0894-0347-05-00497-2
PII: S 0894-0347(05)00497-2
Keywords: Quasi-local energy, local energy condition, positive mass theorem
Received by editor(s): January 20, 2005
Posted: July 12, 2005
Additional Notes: The second author is supported in part by the National Science Foundation under Grant No. DMS-0306600.
Copyright of article: Copyright 2005, by Chiu-Chu Melissa Liu and Shing-Tung Yau

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ISSN: 1088-6834(e) ISSN: 0894-0347(p)

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