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We show that in the Ho\v{r}ava-Lifshitz theory at the kinetic-conformal point, in the low energy regime, a wave zone for asymptotically flat fields can be consistently defined. In it, the physical degrees of freedom, the transverse…

High Energy Physics - Theory · Physics 2021-10-27 Jarvin Mestra-Páez , Joselen Peña , Alvaro Restuccia

Einstein-aether theory is general relativity coupled to a dynamical, unit timelike vector. If this vector is restricted in the action to be hypersurface orthogonal, the theory is identical to the IR limit of the extension of Horava gravity…

High Energy Physics - Theory · Physics 2010-12-24 Ted Jacobson

We show that the Horava theory for the completion of General Relativity at UV scales can be interpreted as a gauge fixed theory, and it can be extended to an invariant theory under the full group of four-dimensional diffeomorphisms. In this…

High Energy Physics - Theory · Physics 2015-05-13 Cristiano Germani , Alex Kehagias , Konstadinos Sfetsos

Local Lorentz invariance violation can be realized by introducing extra tensor fields in the action that couple to matter. If the Lorentz violation is rotationally invariant in some frame, then it is characterized by an ``aether'', i.e. a…

General Relativity and Quantum Cosmology · Physics 2008-11-26 T. Jacobson , D. Mattingly

We consider a Horava theory that has a consistent structure of constraints and propagates two physical degrees of freedom. The Lagrangian includes the terms of Blas, Pujolas and Sibiryakov. The theory can be obtained from the general…

High Energy Physics - Theory · Physics 2014-02-04 J. Bellorin , A. Restuccia , A. Sotomayor

We analyze the propagation and polarization properties of high-frequency gravitational waves in Einstein-\AE ther theory on vorticity-free and slowly-varying backgrounds at both leading and next-to-leading orders within the geometric optics…

General Relativity and Quantum Cosmology · Physics 2026-01-21 Yu-Qi Dong , Shinji Mukohyama , Yu-Xiao Liu

We explore the new physics phenomena of gravidynamics governed by the inhomogeneous spin gauge symmetry based on the gravitational quantum field theory. Such a gravidynamics enables us to derive the generalized Einstein equation and an…

General Relativity and Quantum Cosmology · Physics 2024-03-27 Yuan-Kun Gao , Da Huang , Yong-Liang Ma , Yong Tang , Yue-Liang Wu , Yu-Feng Zhou

The existence of gravitational radiation is a natural prediction of any relativistic description of the gravitational interaction. In this chapter, we focus on gravitational waves, as predicted by Einstein's general theory of relativity.…

General Relativity and Quantum Cosmology · Physics 2017-04-26 Alexandre Le Tiec , Jérôme Novak

We study the radiation of gravitational waves by self-gravitating binary systems in the low-energy limit of Horava gravity. We find that the predictions for the energy-loss formula of General Relativity are modified already for Newtonian…

General Relativity and Quantum Cosmology · Physics 2011-10-11 Diego Blas , Hillary Sanctuary

With the goal of giving evidence for the theoretical consistency of the Horava Theory, we perform a Hamiltonian analysis on a classical model suitable for analyzing its effective dynamics at large distances. The model is the lowest-order…

High Energy Physics - Theory · Physics 2012-04-19 Jorge Bellorin , Alvaro Restuccia

Recently Horava proposed a non-relativistic renormalisable theory of gravitation, which reduces to Einstein's general relativity at large distances, and that may provide a candidate for a UV completion of Einstein's theory. In this paper,…

High Energy Physics - Theory · Physics 2009-09-02 H. Lu , Jianwei Mei , C. N. Pope

We rigorously derive the quadrupole formula within the context of the Einstein-Vlasov system. The main contribution of this work is an estimate of the remainder terms, derived from well-defined assumptions, with explicitly stated error…

General Relativity and Quantum Cosmology · Physics 2025-03-24 Érik Amorim , Håkan Andréasson , Markus Kunze

There has been a significant surge of interest in Horava's model for 3+1 dimensional quantum gravity, this model being based on anisotropic scaling at a z=3 Lifshitz point. Horava's model, and its variants, show dramatically improved…

High Energy Physics - Theory · Physics 2015-05-13 Thomas P Sotiriou , Matt Visser , Silke Weinfurtner

Lorentz symmetry is a fundamental property of Einstein's theory of general relativity that one may wish to test with gravitational wave observations. Einstein-aether theory is a model that introduces Lorentz-symmetry breaking in the…

General Relativity and Quantum Cosmology · Physics 2023-12-01 Kristen Schumacher , Scott Ellis Perkins , Ashley Shaw , Kent Yagi , Nicolas Yunes

The Horava theory depends on several coupling constants. The kinetic term of its Lagrangian depends on one dimensionless coupling constant lambda. For the particular value lambda = 1/3 the kinetic term becomes conformal invariant, although…

High Energy Physics - Theory · Physics 2016-10-06 Jorge Bellorin , Alvaro Restuccia

We consider the anisotropic gravity-gauge vector coupling in the non-projectable Ho\v{r}ava-Lifshitz theory at the kinetic conformal point, in the low energy regime. We show that the canonical formulation of the theory, evaluated at its…

High Energy Physics - Theory · Physics 2022-02-03 Jarvin Mestra-Páez , Álvaro Restuccia , Francisco Tello-Ortiz

We study the deformed kinematics of point particles in the Horava theory of gravity. This is achieved by considering particles as the optical limit of fields with a generalized Klein-Gordon action. We derive the deformed geodesic equation…

High Energy Physics - Theory · Physics 2010-02-23 Dario Capasso , Alexios P. Polychronakos

We argue that in a nonlinear gravity theory, which according to well-known results is dynamically equivalent to a self-gravitating scalar field in General Relativity, the true physical variables are exactly those which describe the…

General Relativity and Quantum Cosmology · Physics 2010-11-01 Guido Magnano , Leszek M. Sokolowski

Recently a new four-dimensional non relativistic renormalizable theory of gravity was proposed by Horava. This gravity reduces to Einstein gravity at large distances. In this paper by using the new action for gravity we present different…

High Energy Physics - Theory · Physics 2011-02-28 Ahmad Ghodsi

We consider the Hamiltonian formulation of Horava gravity in arbitrary dimensions, which has been proposed as a renormalizable gravity model for quantum gravity without the ghost problem. We study the "full" constraint analysis of the…

High Energy Physics - Theory · Physics 2020-08-26 Deniz O. Devecioglu , Mu-In Park
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