Limit of quasilocal mass integrals in asymptotically hyperbolic manifolds

Kwok Kun Kwong; Luen Fai Tam

doi:10.1090/S0002-9939-2012-11294-8

Limit of quasilocal mass integrals in asymptotically hyperbolic manifolds

Kwok Kun Kwong, Luen Fai Tam

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

6 Citations (Scopus)

Abstract

In this paper, we will show that the limit of some quasilocal mass integrals of the coordinate spheres in an asymptotically hyperbolic (AH) manifold is the mass integral of the AH manifold. This is the analogue of the well-known result that the limit of the Brown-York mass of coordinate spheres is the ADM mass in an asymptotically flat manifold.

Original language	English
Pages (from-to)	313-324
Number of pages	12
Journal	Proceedings of the American Mathematical Society
Volume	141
Issue number	1
DOIs	https://doi.org/10.1090/S0002-9939-2012-11294-8
Publication status	Published - 2012

All Science Journal Classification (ASJC) codes

Mathematics(all)
Applied Mathematics

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10.1090/S0002-9939-2012-11294-8

Cite this

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AB - In this paper, we will show that the limit of some quasilocal mass integrals of the coordinate spheres in an asymptotically hyperbolic (AH) manifold is the mass integral of the AH manifold. This is the analogue of the well-known result that the limit of the Brown-York mass of coordinate spheres is the ADM mass in an asymptotically flat manifold.

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Limit of quasilocal mass integrals in asymptotically hyperbolic manifolds

Abstract

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