Pure-connection gravity and anisotropic singularities

Krasnov, Kirill; Shtanov, Yuri

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.

Citation

Krasnov, K., & Shtanov, Y. (2018). Pure-connection gravity and anisotropic singularities. Physics of the Dark Universe, 4(1), Article 12. https://doi.org/10.3390/universe4010012

• Journal Article Type: Article
• Acceptance Date: Dec 28, 2018
• Publication Date: Jan 4, 2018
• Deposit Date: Mar 29, 2018
• Publicly Available Date: Mar 29, 2018
• Journal: Universe
• Electronic ISSN: 2218-1997
• Publisher: Elsevier
• Peer Reviewed: Peer Reviewed
• Volume: 4
• Issue: 1
• Article Number: 12
• DOI: https://doi.org/10.3390/universe4010012
• Keywords: pure-connection gravity; modified gravity; anisotropic singularities
• Public URL: https://nottingham-repository.worktribe.com/output/903535
• Publisher URL: http://www.mdpi.com/2218-1997/4/1/12