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The most important problem of fundamental Physics is the quantization of the gravitational field. A main difficulty is the lack of available experimental tests that discriminate among the theories proposed to quantize gravity. Recently we…

High Energy Physics - Theory · Physics 2009-11-11 Jorge Alfaro

A largely unconstrained set of relativity-violating effects is studied via the gravitomagnetic effect on intrinsic spins. The results of existing comagnetometer experiments are used to place constraints on two new combinations of these…

High Energy Physics - Phenomenology · Physics 2013-08-07 Jay D. Tasson

We show that the Modified Newtonian Dynamics (MOND) regime can be fully recovered as the weak-field limit of a particular theory of gravity formulated in the metric approach. This is possible when Milgrom's acceleration constant is taken as…

Cosmology and Nongalactic Astrophysics · Physics 2011-11-16 T. Bernal , S. Capozziello , J. C. Hidalgo , S. Mendoza

If Lorentz symmetry is broken, it must have occurred dynamically, via a vector or tensor field whose potential energy forces it to take on a non-zero background expectation value "in vacuum". If the set of minima of this potential (the…

High Energy Physics - Theory · Physics 2017-08-23 Michael D. Seifert

One of the most difficult questions in present-day physics concerns a fundamental theory of space, time, and matter that incorporates a consistent quantum description of gravity. There are various theoretical approaches to such a…

General Relativity and Quantum Cosmology · Physics 2011-09-28 Ralf Lehnert

Moderhai Milgrom's Modified Newtonian Dynamics (MOND) correction to Newtonian gravity or inertia is shown to be equivalent to a more fundamental formulation considering a non-inertial local reference frame and the fixed background of the…

General Physics · Physics 2026-01-08 Manuel Uruena Palomo

We present a fully nonlinear study of long wavelength cosmological perturbations within the framework of the projectable Horava-Lifshitz gravity, coupled to a single scalar field. Adopting the gradient expansion technique, we explicitly…

High Energy Physics - Theory · Physics 2013-05-30 A. Emir Gumrukcuoglu , Shinji Mukohyama , Anzhong Wang

In this lecture I address the issue of possible large distance modification of gravity and its observational consequences. Although, for the illustrative purposes we focus on a particular simple generally-covariant example, our conclusions…

High Energy Physics - Theory · Physics 2007-05-23 Gia Dvali

The study of gravitational theories without Lorentz invariance plays an important role to understand different aspects of gravitation. In this short contribution we will describe the construction, main advantages and some phenomenological…

General Relativity and Quantum Cosmology · Physics 2015-07-29 Diego Blas

In Ashtekar's Hamiltonian formulation of general relativity, and in loop quantum gravity, Lorentz covariance is a subtle issue that has been strongly debated. Maintaining manifest Lorentz covariance seems to require introducing either…

General Relativity and Quantum Cosmology · Physics 2012-06-01 Steffen Gielen , Derek K. Wise

Lorentz violation is a significant phenomenon in the framework of quantum physics, with implications for fundamental symmetries. In this paper, we explore the effects of Lorentz violation on quantum entanglement through a black hole…

General Relativity and Quantum Cosmology · Physics 2025-08-04 Wentao Liu , Cuihong Wen , Jieci Wang

Ho\v{r}ava-Lifshitz gravity is a potentially UV complete theory with important implications for the very early universe. In particular, in the presence of spatial curvature it is possible to obtain a non-singular bouncing cosmology. The…

High Energy Physics - Theory · Physics 2015-05-14 Xian Gao , Yi Wang , Wei Xue , Robert Brandenberger

We report a comprehensive numerical study of the renormalization group flow of marginal couplings in $(3+1)$-dimensional projectable Ho\v{r}ava gravity. First, we classify all fixed points of the flow and analyze their stability matrices.…

General Relativity and Quantum Cosmology · Physics 2024-11-22 Andrei O. Barvinsky , Alexander V. Kurov , Sergey M. Sibiryakov

Familiar concepts in physics, such as Lorentz symmetry, are expected to be broken at energies approaching the Planck energy scale as predicted by several quantum-gravity theories. However, such very large energies are unreachable by current…

High Energy Astrophysical Phenomena · Physics 2023-11-22 Hassan Abdalla , Garret Cotter , Michael Backes , Eli Kasai , Markus Böttcher

We revisit gauge invariant cosmological perturbations in UV-modified, z = 3 Horava gravity with one scalar matter field, which has been proposed as a renormalizable gravity theory without the ghost problem in four dimensions. We confirm…

General Relativity and Quantum Cosmology · Physics 2018-01-24 Mu-In Park

The cosmological constant and its phenomenology remain among the greatest puzzles in theoretical physics. We review how modifications of Einstein's general relativity could alleviate the different problems associated with it that result…

General Relativity and Quantum Cosmology · Physics 2022-10-14 The FADE Collaboration , Heliudson Bernardo , Benjamin Bose , Guilherme Franzmann , Steffen Hagstotz , Yutong He , Aliki Litsa , Florian Niedermann

At the present work, it is studied the extension of F (R) gravities to the new recently proposed theory of gravity, the so-called Horava-Lifshitz gravity, which provides a way to make the theory power counting renormalizable by breaking…

General Relativity and Quantum Cosmology · Physics 2015-05-20 Diego Sáez-Gómez

A candidate for relativistic MOND with successful cosmology was proposed recently by using a Lorentz-violating vector field in Einstein's gravity. We show that the dynamic nature of the vector field makes it challenging to realize the MOND.…

General Relativity and Quantum Cosmology · Physics 2025-08-12 Jai-chan Hwang , Hyerim Noh

We present a modified inertia formulation of Modified Newtonian dynamics (MOND) without retaining Galilean invariance. Assuming that the existence of a universal upper bound, predicted by MOND, to the acceleration produced by a dark halo is…

Astrophysics of Galaxies · Physics 2018-01-09 Mohammed Alzain

Galactic systems, and the Universe at large, exhibit large dynamical anomalies: The observed matter in them falls very short of providing enough gravity to account for their dynamics. The mainstream response to this conundrum is to invoke…

Astrophysics of Galaxies · Physics 2017-07-25 Mordehai Milgrom