Pure-connection gravity and anisotropic singularities

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...

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Main Authors: Krasnov, Kirill, Shtanov, Yuri
Format: Article
Published: MDPI 2018
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Online Access:https://eprints.nottingham.ac.uk/50827/
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author Krasnov, Kirill
Shtanov, Yuri
author_facet Krasnov, Kirill
Shtanov, Yuri
author_sort Krasnov, Kirill
building Nottingham Research Data Repository
collection Online Access
description 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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spelling nottingham-508272020-05-04T19:25:52Z https://eprints.nottingham.ac.uk/50827/ Pure-connection gravity and anisotropic singularities Krasnov, Kirill Shtanov, Yuri 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. MDPI 2018-01-04 Article PeerReviewed Krasnov, Kirill and Shtanov, Yuri (2018) Pure-connection gravity and anisotropic singularities. Universe, 4 (1). 12/1-12/11. ISSN 2218-1997 pure-connection gravity; modified gravity; anisotropic singularities http://www.mdpi.com/2218-1997/4/1/12 doi:10.3390/universe4010012 doi:10.3390/universe4010012
spellingShingle pure-connection gravity; modified gravity; anisotropic singularities
Krasnov, Kirill
Shtanov, Yuri
Pure-connection gravity and anisotropic singularities
title Pure-connection gravity and anisotropic singularities
title_full Pure-connection gravity and anisotropic singularities
title_fullStr Pure-connection gravity and anisotropic singularities
title_full_unstemmed Pure-connection gravity and anisotropic singularities
title_short Pure-connection gravity and anisotropic singularities
title_sort pure-connection gravity and anisotropic singularities
topic pure-connection gravity; modified gravity; anisotropic singularities
url https://eprints.nottingham.ac.uk/50827/
https://eprints.nottingham.ac.uk/50827/
https://eprints.nottingham.ac.uk/50827/