The Jang Equation and the Positive Mass Theorem in the Asymptotically Hyperbolic Setting
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DOI: 10.1007/s00220-021-04083-1
Abstract: We solve the Jang equation with respect to asymptotically hyperbolic “hyperboloidal” initial data. The results are applied to give a non-spinor proof of the positive mass theorem in the asymptotically hyperbolic setting. This work focuses… read more here.
Keywords: positive mass; hyperbolic setting; asymptotically hyperbolic; jang equation ... See more keywords
Positive mass theorems for asymptotically hyperbolic Riemannian manifolds with boundary
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DOI: 10.1088/1361-6382/ac1fd1
Abstract: We prove positive mass theorems for asymptotically hyperbolic and asymptotically locally hyperbolic Riemannian manifolds with black-hole-type boundaries. An interesting global invariant of asymptotically hyperbolic general relativistic initial data sets is the energy-momentum vector m ≡… read more here.
Keywords: conformal boundary; boundary infinity; asymptotically hyperbolic; topology ... See more keywords