Pure-connection gravity and anisotropic singularitiesTools Krasnov, Kirill and Shtanov, Yuri (2018) Pure-connection gravity and anisotropic singularities. Universe, 4 (1). 12/1-12/11. ISSN 2218-1997 Full text not available from this repository.
Official URL: http://www.mdpi.com/2218-1997/4/1/12
AbstractIn 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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