Limit of quasilocal mass integrals in asymptotically hyperbolic manifolds

Details Limit of quasilocal mass integrals in asymptotically hyperbolic manifolds Limit of quasilocal mass integrals in asymptotically hyperbolic manifolds

2010-10-29

arxiv.org/abs/1010.6130v1

Mathematics

Differential Geometry

16 pages

Scientific paper

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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