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Speaker |
Sengupta, Sandipan |
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Coauthors |
Sandipan Sengupta, Romesh Kaul |
| Talk Title |
Degenerate Extensions Of Schwarzschild Exterior As Alternatives To Black Hole Geometries |
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Abstract |
We present vacuum spacetime solutions of first order gravity, which are described by the exterior Schwarzschild geometry in one region and by degenerate tetrads in the other. Unlike the Kruskal-Szekeres construction based on invertible metrics, these spacetimes represent extensions of the exterior Schwarzschild geometry based on degenerate tetrads. The invertible and noninvertible phases of the tetrad meet at an intermediate hypersurface across which the components of the metric, affine connection and field-strength are all continuous. Within the degenerate spacetime region, the noninvertibility of the tetrad leads to nonvanishing torsion. In contrast to the Schwarzschild spacetime which is the unique spherically symmetric solution of Einsteinian gravity, all the field-strength components associated with these vacuum geometries remain finite everywhere. These vacuum geometries could be particularly relevant in the context of singularities in general relativity as well as that of the information loss problem. |
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