Gielen, S. orcid.org/0000-0002-8653-5430 and Nash, E. orcid.org/0000-0002-3775-2113 (2024) Unimodular Plebański gravity. Classical and Quantum Gravity, 41 (8). 085009. ISSN 0264-9381
Abstract
We present new action principles for unimodular gravity, defined in the chiral Plebanski formulation based on (complex) two-forms and a complex SO(3) connection. In these theories, just as in their analogues in the metric formulation, the cosmological constant does not take a prescribed value but is an integration constant whose value can differ between different (classical) solutions. We discuss some subtleties when identifying Lorentzian solutions in the generally complex theory, and show how these theories can be reduced to a "pure connection" form similar to Krasnov's pure connection formalism for general relativity.
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Item Type: | Article |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | © 2024 The Author(s). Published by IOP Publishing Ltd. Original content from this work may be used under the terms of the Creative Commons Attribution 4.0 license (http://creativecommons.org/licenses/by/4.0/). Any further distribution of this work must maintain attribution to the author(s) and the title of the work, journal citation and DOI. |
Keywords: | Mathematical Physics; Particle and High Energy Physics; Mathematical Sciences; Physical Sciences |
Dates: |
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Institution: | The University of Sheffield |
Academic Units: | The University of Sheffield > Faculty of Science (Sheffield) > School of Mathematics and Statistics (Sheffield) |
Depositing User: | Symplectic Sheffield |
Date Deposited: | 03 Apr 2024 10:52 |
Last Modified: | 03 Apr 2024 10:52 |
Status: | Published |
Publisher: | IOP Publishing |
Refereed: | Yes |
Identification Number: | 10.1088/1361-6382/ad3277 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:210984 |
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