Gravity with explicit spacetime symmetry breaking and the Standard-Model Extension
arXiv:1907.13209 · doi:10.1103/PhysRevD.100.084022
Abstract
The Standard-Model Extension (SME) is the general phenomenological framework used to investigate Lorentz violation at the level of effective field theory. It has been used to obtain stringent experimental bounds on Lorentz violation in a wide range of tests. In the gravity sector of the SME, it is typically assumed that the spacetime symmetry breaking occurs spontaneously in order to avoid potential conflicts with the Bianchi identities. A post-Newtonian limit as well as matter-gravity couplings in the SME have been developed and investigated based on this assumption. In this paper, the possibility of using the SME to also describe gravity theories with explicit spacetime symmetry breaking is investigated. It is found that in a wide range of cases, particularly when matter-gravity couplings are included, consistency with the Bianchi identities can be maintained, and therefore the SME can be used to search for signals of the symmetry breaking. Two examples with explicit breaking are considered. The first is ghost-free massive gravity with an effective metric that couples to matter. The second is Horava gravity coupled with matter in an infrared limit.
arXiv commentPublished version
References in corpus (79)
- Quantum Gravity at a Lifshitz Point
- Lorentz-Violating Extension of the Standard Model
- Resummation of Massive Gravity
- CPT Violation and the Standard Model
- Data Tables for Lorentz and CPT Violation
- Gravity, Lorentz Violation, and the Standard Model
- Generalization of the Fierz-Pauli Action
- Massive Gravity
- Theoretical Aspects of Massive Gravity
- Resolving the Ghost Problem in non-Linear Massive Gravity
- Effective Field Theory for Massive Gravitons and Gravity in Theory Space
- Stability, Causality, and Lorentz and CPT Violation
- CPT, Strings, and Meson Factories
- Electrodynamics with Lorentz-violating operators of arbitrary dimension
- Signals for Lorentz Violation in Post-Newtonian Gravity
- Photon and Graviton Mass Limits
- Spontaneous Lorentz Violation, Nambu-Goldstone Modes, and Gravity
- Ghost-free Massive Gravity with a General Reference Metric
- Matter-gravity couplings and Lorentz violation
- Atom Interferometry tests of the isotropy of post-Newtonian gravity
- Horava-Lifshitz Cosmology: A Review
- Interacting Spin-2 Fields
- Ghost free Massive Gravity in the Stückelberg language
- Fermions with Lorentz-violating operators of arbitrary dimension
- Riemann-Finsler geometry and Lorentz-violating kinematics
- Horava-Lifshitz gravity: a status report
- Constraints on Torsion from Lorentz Violation
- Spontaneous Lorentz and Diffeomorphism Violation, Massive Modes, and Gravity
- Prospects for Large Relativity Violations in Matter-Gravity Couplings
- What Do We Know About Lorentz Invariance?
- Testing local Lorentz invariance with gravitational waves
- On couplings to matter in massive (bi-)gravity
- Hořava Gravity at a Lifshitz Point: A Progress Report
- Testing for Lorentz Violation: Constraints on Standard-Model Extension Parameters via Lunar Laser Ranging
- Atom interferometry tests of local Lorentz invariance in gravity and electrodynamics
- Constraints and Stability in Vector Theories with Spontaneous Lorentz Violation
- On Lorentz violation in Horava-Lifshitz type theories
- Overview of the SME: Implications and Phenomenology of Lorentz Violation
- Bipartite Riemann-Finsler geometry and Lorentz violation
- Constraints on Lorentz violation from gravitational Cherenkov radiation
- Lorentz and CPT tests with hydrogen, antihydrogen, and related systems
- Ghosts & Matter Couplings in Massive (bi-&multi-)Gravity
- Short-range gravity and Lorentz violation
- Tests of local Lorentz invariance violation of gravity in the standard model extension with pulsars
- Quantum Corrections in Massive Gravity
- Gauge field theories with Lorentz-violating operators of arbitrary dimension
- A note on "symmetric" vielbeins in bimetric, massive, perturbative and non perturbative gravities
- Riemann-Finsler Geometry and Lorentz-Violating Scalar Fields
- Redefining Spinors in Lorentz-Violating QED
- Explicit versus Spontaneous Diffeomorphism Breaking in Gravity
- An Alternative Approach for General Covariant Horava-Lifshitz Gravity and Matter Coupling
- Covariant constraints in ghost free massive gravity
- Laboratory tests of Lorentz and CPT symmetry with muons
- The coupling to matter in Massive, Bi- and Multi-Gravity
- Search for Lorentz violation in short-range gravity
- Lorentz and Diffeomorphism Violations in Linearized Gravity
- New pulsar limit on local Lorentz invariance violation of gravity in the standard-model extension
- Testing Lorentz symmetry with planetary orbital dynamics
- Finsler-like structures from Lorentz-breaking classical particles
- Lorentz violation in the gravity sector: The t puzzle
- Limits on violations of Lorentz Symmetry from Gravity Probe B
- Lorentz and CPT Tests with Clock-Comparison Experiments
- Orbital effects of Lorentz-violating Standard Model Extension gravitomagnetism around a static body: a sensitivity analysis
- Classical kinematics and Finsler structures for nonminimal Lorentz-violating fermions
- Testing local Lorentz invariance with short-range gravity
- Constraints on Nonmetricity from Bounds on Lorentz Violation
- Combined Search for a Lorentz-Violating Force in Short-Range Gravity Varying as the Inverse Sixth Power of Distance
- Standard Model Extension with Gravity and Gravitational Baryogenesis
- Constraining Anisotropic Lorentz Violation via the Spectral-Lag Transition of GRB 160625B
- Electrodynamics a la Horava
- Noether identities in gravity theories with nondynamical backgrounds and explicit spacetime symmetry breaking
- Matter-Sector Lorentz Violation in Binary Pulsars
- Matter in Horava-Lifshitz gravity
- Spacetime Symmetry Breaking and Einstein-Maxwell Theory
- Inflation as an amplifier: the case of Lorentz violation
- The anisotropic coupling of gravity and electromagnetism in Hořava-Lifshitz theory
- Spacetime Variation of Lorentz-Violation Coefficients at Nonrelativistic Scale
- Spacetime Variation of Lorentz-Violation Coefficients at Nonrelativistic Scale
- Matter couplings in Horava-Lifshitz and their cosmological applications
Cited by in corpus (27)
- Backgrounds in gravitational effective field theory
- Lorentz invariance violations in the interplay of quantum gravity with matter
- 3+1 Formulation of the Standard-Model Extension Gravity Sector
- Hubble tension as a guide for refining the early Universe: Cosmologies with explicit local Lorentz and diffeomorphism violation
- Searches for beyond-Riemann gravity
- Hamiltonian formulation of an effective modified gravity with nondynamical background fields
- Modified particle dynamics and thermodynamics in a traversable wormhole in bumblebee gravity
- Explicit Lorentz violation in a static and spherically-symmetric spacetime
- Modified-gravity theories with nondynamical background fields
- Gravity with Explicit Diffeomorphism Breaking
- Explicit spacetime-symmetry breaking and the dynamics of primordial fields
- Energy nonconservation and relativistic trajectories: Unimodular gravity and beyond
- Spontaneous Lorentz violation and asymptotic flatness
- Lorentz-violating matter-gravity couplings in small-eccentricity binary pulsars
- Spontaneous and Explicit Spacetime Symmetry Breaking in Einstein-Cartan Theory with Background Fields
- Scalar fields and Lifshitz black holes from Derrick's theorem evasion
- Construction of higher-order metric fluctuation terms in spacetime symmetry-breaking effective field theory
- Short-range forces due to Lorentz-symmetry violation
- Charged Lifshitz black holes from general covariance breaking
- Testing Lorentz symmetry with space-based gravitational-wave detectors
- Accretion of matter of a new bumblebee black hole
- Single-Particle Quantum Mechanics of the Free Klein-Gordon Equation with Lorentz Violation
- Gravitational aspects of a new bumblebee black hole
- Diffeomorphism Invariance Breaking in Gravity and Cosmological Evolution
- Primordial observables of explicit diffeomorphism violation in gravity
- Probing Lorentz-violating effects via precession and accretion disk images in a rotating bumblebee spacetime
- Cosmology in the presence of diffeomorphism-violating, nondynamical background fields