Vector-tensor gravity from a broken gauge symmetry
arXiv:2207.06599 · doi:10.1088/1361-6382/acc62e
Abstract
In this paper we present a Yang-Mills type gauge theory of vector-tensor gravity, where the tetrad, the spin connection and vector field are identified with components of the gauge field. This setup leads to a theory that is contained in Generalized Proca theories. We solve for static and spherically symmetric space-time and show that there are two branches of solutions, one where the metric is asymptotically Schwarzschild even though there is a cosmological constant in the action, and another one where the metric is asymptotically (anti-)de Sitter. Also, we study the effect of the vector field on homogeneous and isotropic spacetimes, finding that it contributes to the accelerated expansion of the metric.
References in corpus (26)
- 4D Gravity on a Brane in 5D Minkowski Space
- Quantum Gravity at a Lifshitz Point
- Regular Black Hole in General Relativity Coupled to Nonlinear Electrodynamics
- Membranes at Quantum Criticality
- Healthy theories beyond Horndeski
- Einstein-Gauss-Bonnet gravity in 4-dimensional space-time
- Degenerate higher derivative theories beyond Horndeski: evading the Ostrogradski instability
- Horndeski theory and beyond: a review
- Generalization of the Proca Action
- Cosmic Acceleration from Abelian Symmetry Breaking
- Derivative self-interactions for a massive vector field
- Multi-field galileons and higher co-dimension branes
- Beyond generalized Proca theories
- Galileons from Lovelock actions
- MacDowell-Mansouri gravity and Cartan geometry
- New Action Principle for General Relativity
- Stability of Horndeski vector-tensor interactions
- Gravity and Unification: A review
- The Gauge Theory of the de-Sitter Group and Ashtekar Formulation
- Topological parameters in gravity
- Generalized Proca and its Constraint Algebra
- Topological invariants and the definition of energy in quadratic gravity theory
- Towards a unitary, renormalizable and ultraviolet-complete quantum theory of gravity
- Spin connection formulations of real Lorentzian General Relativity
- Self-dual gravity and self-dual Yang-Mills in the context of Macdowell-Mansouri formalism
- Anti-self-dual gravity and supergravity from a pure connection formulation