Develops a Lagrangian path integral formulation for non-projectable Hořava gravity and computes one-loop divergences in (2+1) dimensions, verifying cancellation of linear-in-frequency terms to extract beta functions for Newton constant and λ.
Quantum Grav.30 133001 [arXiv:1304.5795]
6 Pith papers cite this work. Polarity classification is still indexing.
abstract
We present an updated review of Lorentz invariance tests in Effective field theories (EFT) in the matter as well as in the gravity sector. After a general discussion of the role of Lorentz invariance and a derivation of its transformations along the so called von Ignatovski theorem, we present the dynamical frameworks developed within local EFT and the available constraints on the parameters governing the Lorentz breaking effects. In the end, we discuss two specific examples, the OPERA "affaire" and the case of Ho\v{r}ava-Lifshitz gravity. The first case will serve as an example, and a caveat, of the practical application of the general techniques developed for constraining Lorentz invariance violation (LIV) to a direct observation potentially showing these effects. The second case will show how the application of the same techniques to a specific quantum gravity scenario has far fetching implications not foreseeable in a purely phenomenological EFT approach.
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background 3representative citing papers
Exact black hole solutions with topological horizons are found in EKR gravity and their thermodynamics are analyzed using the Wald formalism for mass and entropy.
EMRI waveforms in bumblebee gravity allow LISA to constrain the Lorentz symmetry breaking parameter ell at the level of O(10^{-4}).
Bumblebee theory on an FLRW background yields a cosmological model whose single free parameter is fitted to supernovae observations, producing deceleration and dark energy behaviors that are compared to Lambda-CDM.
A review summarizing modified theories of gravity, their effects on compact objects, existing bounds from astrophysical observations, and the promise of future gravitational wave tests for strong-field gravity.
Experiments confirm general relativity to high precision in weak-field and strong-field regimes, with gravitational wave damping matching predictions to better than 0.5 percent.
citing papers explorer
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Quantizing non-projectable Ho\v{r}ava gravity with Lagrangian path integral
Develops a Lagrangian path integral formulation for non-projectable Hořava gravity and computes one-loop divergences in (2+1) dimensions, verifying cancellation of linear-in-frequency terms to extract beta functions for Newton constant and λ.
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Revisiting black holes and their thermodynamics in Einstein-Kalb-Ramond gravity
Exact black hole solutions with topological horizons are found in EKR gravity and their thermodynamics are analyzed using the Wald formalism for mass and entropy.
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Constraining Lorentz symmetry breaking in bumblebee gravity with extreme mass-ratio inspirals
EMRI waveforms in bumblebee gravity allow LISA to constrain the Lorentz symmetry breaking parameter ell at the level of O(10^{-4}).
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Cosmological implications of Bumblebee theory on an FLRW background
Bumblebee theory on an FLRW background yields a cosmological model whose single free parameter is fitted to supernovae observations, producing deceleration and dark energy behaviors that are compared to Lambda-CDM.
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Testing General Relativity with Present and Future Astrophysical Observations
A review summarizing modified theories of gravity, their effects on compact objects, existing bounds from astrophysical observations, and the promise of future gravitational wave tests for strong-field gravity.
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The Confrontation between General Relativity and Experiment
Experiments confirm general relativity to high precision in weak-field and strong-field regimes, with gravitational wave damping matching predictions to better than 0.5 percent.