Spatially Covariant Theories of a Transverse, Traceless Graviton: Formalism

Loading...
Thumbnail Image
Penn collection
Department of Physics Papers
Degree type
Discipline
Subject
Physical Sciences and Mathematics
Physics
Funder
Grant number
License
Copyright date
Distributor
Related resources
Author
Miller, Godfrey E. J.
Tolley, Andrew J.
Contributor
Abstract

General relativity is a generally covariant, locally Lorentz covariant theory of two transverse, traceless graviton degrees of freedom. According to a theorem of Hojman, Kucharˇ, and Teitelboim, modifications of general relativity must either introduce new degrees of freedom or violate the principle of local Lorentz covariance. In this paper, we explore modifications of general relativity that retain the same graviton degrees of freedom, and therefore explicitly break Lorentz covariance. Motivated by cosmology, the modifications of interest maintain explicit spatial covariance. In spatially covariant theories of the graviton, the physical Hamiltonian density obeys an analogue of the renormalization group equation which encodes invariance under flow through the space of conformally equivalent spatial metrics. This paper is dedicated to setting up the formalism of our approach and applying it to a realistic class of theories. Forthcoming work will apply the formalism more generally.

Advisor
Date Range for Data Collection (Start Date)
Date Range for Data Collection (End Date)
Digital Object Identifier
Series name and number
Publication date
2012-04-02
Journal title
Volume number
Issue number
Publisher
Publisher DOI
Journal Issue
Comments
Khoury, J., Miller, G. E. J., & Tolley, A. J. (2012). Spatially Covariant Theories of a Transverse, Traceless Graviton: Formalism. Physical Review D, 85(8), 084002. doi: http://dx.doi.org/10.1103/PhysRevD.85.084002 © 2012 American Physical Society
Recommended citation
Collection