Role of matter in gravitation: going beyond the Einstein-Maxwell theory
arXiv:1907.12292 · doi:10.1103/PhysRevD.100.124064
Abstract
For field theories in curved spacetime, defining how matter gravitates is part of the theory building process. In this letter, we adopt Bekenstein's multiple geometries approach to allow part of the matter sector to follow the geodesics on a general pseudo-Riemannian geometry, constructed from a tensor and a gauge field. This procedure allows us to generate a previously unknown corner of vector-tensor theories. In the Jordan frame, apparent high-derivative terms of the vector field are reduced by integrating out an auxiliary variable, at the cost of introducing new matter interactions. As a simple example, we consider a conformal relation between different geometries and demonstrate the presence of an auxiliary degree. We conclude with a discussion of applications, in particular for the early universe.
arXiv comment5 pages; v2 update to match the published version
References in corpus (28)
- Evidence for strong extragalactic magnetic fields from Fermi observations of TeV blazars
- Cosmological Magnetic Fields: Their Generation, Evolution and Observation
- Degenerate higher derivative theories beyond Horndeski: evading the Ostrogradski instability
- Transforming gravity: from derivative couplings to matter to second-order scalar-tensor theories beyond the Horndeski Lagrangian
- The Relation between Physical and Gravitational Geometry
- The intergalactic magnetic field constrained by Fermi/LAT observations of the TeV blazar 1ES 0229+200
- Generalization of the Proca Action
- EGMF Constraints from Simultaneous GeV-TeV Observations of Blazars
- Lower limit on the strength and filling factor of extragalactic magnetic fields
- Magnetic fields from inflation?
- Disformal invariance of second order tensor-scalar theories: framing the Horndeski action
- Derivative self-interactions for a massive vector field
- Determination of intergalactic magnetic fields from gamma ray data
- Cosmological Magnetic Fields from Inflation and Backreaction
- Observable non-gaussianity from gauge field production in slow roll inflation, and a challenging connection with magnetogenesis
- Constraints on the Intergalactic Magnetic Field with Gamma-Ray Observations of Blazars
- Extended vector-tensor theories
- Evidence for GeV Pair Halos around Low Redshift Blazars
- Inflationary Magnetogenesis without the Strong Coupling Problem II: Constraints from CMB anisotropies and B-modes
- Universal upper limit on inflation energy scale from cosmic magnetic field
- Lower Bounds on Magnetic Fields in Intergalactic Voids from Long-Term GeV-TeV Light Curves of the Blazar Mrk 421
- A no-go theorem for generalized vector Galileons on flat spacetime
- Scalar-Vector-Tensor Gravity Theories
- Covariantised Vector Galileons
- Critical constraint on inflationary magnetogenesis
- Vector disformal transformation of generalized Proca theory
- Inflationary magneto-(non)genesis, increasing kinetic couplings, and the strong coupling problem
- Stealth magnetic field in de Sitter spacetime
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- Unveiling the inconsistency of the Proca theory with non-minimal coupling to gravity
- Disformal transformation of physical quantities associated with relativistic stars
- Minimal exponential measure model in the post-Newtonian limit
- Dimensional aspects of Lovelock-Lanczos gravity