General second-order scalar-tensor theory and self-tuning

Starting from the most general scalar-tensor theory with second order field equations in four dimensions, we establish the unique action that will allow for the existence of a consistent self-tuning mechanism on FLRW backgrounds, and show how it can be understood as a combination of just four base L...

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Main Authors: Charmousis, Christos, Copeland, Edmund J., Padilla, Antonio, Saffin, Paul M.
Format: Article
Published: American Physical Society 2012
Online Access:https://eprints.nottingham.ac.uk/42138/
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author Charmousis, Christos
Copeland, Edmund J.
Padilla, Antonio
Saffin, Paul M.
author_facet Charmousis, Christos
Copeland, Edmund J.
Padilla, Antonio
Saffin, Paul M.
author_sort Charmousis, Christos
building Nottingham Research Data Repository
collection Online Access
description Starting from the most general scalar-tensor theory with second order field equations in four dimensions, we establish the unique action that will allow for the existence of a consistent self-tuning mechanism on FLRW backgrounds, and show how it can be understood as a combination of just four base Lagrangians with an intriguing geometric structure dependent on the Ricci scalar, the Einstein tensor, the double dual of the Riemann tensor and the Gauss-Bonnet combination. Spacetime curvature can be screened from the net cosmological constant at any given moment because we allow the scalar field to break Poincar\'e invariance on the self-tuning vacua, thereby evading the Weinberg no-go theorem. We show how the four arbitrary functions of the scalar field combine in an elegant way opening up the possibility of obtaining non-trivial cosmological solutions.
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spelling nottingham-421382020-05-04T16:32:08Z https://eprints.nottingham.ac.uk/42138/ General second-order scalar-tensor theory and self-tuning Charmousis, Christos Copeland, Edmund J. Padilla, Antonio Saffin, Paul M. Starting from the most general scalar-tensor theory with second order field equations in four dimensions, we establish the unique action that will allow for the existence of a consistent self-tuning mechanism on FLRW backgrounds, and show how it can be understood as a combination of just four base Lagrangians with an intriguing geometric structure dependent on the Ricci scalar, the Einstein tensor, the double dual of the Riemann tensor and the Gauss-Bonnet combination. Spacetime curvature can be screened from the net cosmological constant at any given moment because we allow the scalar field to break Poincar\'e invariance on the self-tuning vacua, thereby evading the Weinberg no-go theorem. We show how the four arbitrary functions of the scalar field combine in an elegant way opening up the possibility of obtaining non-trivial cosmological solutions. American Physical Society 2012-01-30 Article PeerReviewed Charmousis, Christos, Copeland, Edmund J., Padilla, Antonio and Saffin, Paul M. (2012) General second-order scalar-tensor theory and self-tuning. Physical Review Letters, 108 (5). 051101/1-051101/. ISSN 1079-7114 https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.108.051101 doi:10.1103/PhysRevLett.108.051101 doi:10.1103/PhysRevLett.108.051101
spellingShingle Charmousis, Christos
Copeland, Edmund J.
Padilla, Antonio
Saffin, Paul M.
General second-order scalar-tensor theory and self-tuning
title General second-order scalar-tensor theory and self-tuning
title_full General second-order scalar-tensor theory and self-tuning
title_fullStr General second-order scalar-tensor theory and self-tuning
title_full_unstemmed General second-order scalar-tensor theory and self-tuning
title_short General second-order scalar-tensor theory and self-tuning
title_sort general second-order scalar-tensor theory and self-tuning
url https://eprints.nottingham.ac.uk/42138/
https://eprints.nottingham.ac.uk/42138/
https://eprints.nottingham.ac.uk/42138/