Positive Mass Theorem on Manifolds admitting Corners along a Hypersurface

Details Positive Mass Theorem on Manifolds admitting Corners along a Hypersurface Positive Mass Theorem on Manifolds admitting Corners along a Hypersurface

2002-12-05

arxiv.org/abs/math-ph/0212025v3

Adv. Theor. Math. Phys. 6 (2002) 1163-1182

Physics

Mathematical Physics

17 pages

Scientific paper

We study a class of non-smooth asymptotically flat manifolds on which metrics
fails to be $C^1$ across a hypersurface $\Sigma$. We first give an
approximation scheme to mollify the metric, then we prove that the Positive
Mass Theorem still holds on these manifolds if a geometric boundary condition
is satisfied by metrics separated by $\Sigma$.

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