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Evolution and spherical collapse in Einstein-Æther theory and Hořava gravity

Bhattacharyya, Jishnu; Coates, Andrew; Colombo, Mattia; Sotiriou, Thomas P.

Authors

Jishnu Bhattacharyya

Andrew Coates

Mattia Colombo

Thomas P. Sotiriou



Abstract

We compare the initial value formulation of the low-energy limit of (nonprojectable) Hořava gravity to that of Einstein-æther theory when the æther is assumed to be hypersurface orthogonal at the level of the field equations. This comparison clearly highlights a crucial difference in the causal structure of the two theories at the nonperturbative level: in Hořava gravity evolution equations include an elliptic equation that is not a constraint relating initial data but needs to be imposed on each slice of the foliation. This feature is absent in Einstein-æther theory. We discuss its physical significance in Hořava gravity. We also focus on spherical symmetry, and we revisit existing collapse simulations in Einstein-æther theory. We argue that they have likely already uncovered the dynamical formation of a universal horizon and that they can act as evidence that this horizon is indeed a Cauchy horizon in Hořava gravity.

Journal Article Type Article
Publication Date Mar 23, 2016
Journal Physical Review D
Print ISSN 2470-0010
Electronic ISSN 2470-0029
Publisher American Physical Society
Peer Reviewed Peer Reviewed
Volume 93
Issue 6
Article Number 64056
APA6 Citation Bhattacharyya, J., Coates, A., Colombo, M., & Sotiriou, T. P. (2016). Evolution and spherical collapse in Einstein-Æther theory and Hořava gravity. Physical Review D, 93(6), https://doi.org/10.1103/PhysRevD.93.064056
DOI https://doi.org/10.1103/PhysRevD.93.064056
Publisher URL http://dx.doi.org/10.1103/PhysRevD.93.064056
Copyright Statement Copyright information regarding this work can be found at the following address: http://eprints.nottingh.../end_user_agreement.pdf
Additional Information © 2016 American Physical Society

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Copyright Statement
Copyright information regarding this work can be found at the following address: http://eprints.nottingham.ac.uk/end_user_agreement.pdf





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