Pure-connection gravity and anisotropic singularities
arXiv:1712.05579 · doi:10.3390/universe4010012
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.
10 pages, 3 figures, Proceedings of the 10th Bolyai-Gauss-Lobachevsky Conference on Non-Euclidean Geometry and its Applications, August 21-26, 2017, Gyöngyös, Hungary, to be published in Universe (MDPI)