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arXiv · 1712.05579

Pure-connection gravity and anisotropic singularities

Kirill Krasnov·Yuri Shtanov
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Abstract

In four space-time dimensions, there exists a special infinite-parameter family of chiral modified gravity theories. They are most properly described by a connection field, with space-time metric being a secondary and derived concept. All these theories have the same number of degrees of freedom as general relativity, which is the only parity-invariant member of this family. Modifications of general relativity can be arranged so as to become important in regions with large curvature. In this paper we review how a certain simple modification of this sort can resolve the Schwarzschild black-hole and Kasner anisotropic singularities of general relativity. In the corresponding solutions, the fundamental connection field is regular in space-time.

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Kirill Krasnov, Yuri Shtanov. 2017-12-15. Pure-connection gravity and anisotropic singularities. https://doi.org/10.3390/universe4010012

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