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Lorentz violation at high energies might lead to non linear dispersion relations for the fundamental particles. We analyze observational constraints on these without assuming any a priori equality between the coefficients determining the…

High Energy Physics - Phenomenology · Physics 2017-08-23 S. Liberati , T. A. Jacobson , D. Mattingly

The electrodynamics with a Chern-Simons term $p_{\mu}A_{\nu}\widetilde{F}^{\mu\nu}$ violates Lorentz and $CPT$ symmetries with a non-vanishing $p_{\mu}$. For a fixed vector $p_{\mu}$, in this paper we point out that the energy-momentum…

High Energy Physics - Phenomenology · Physics 2009-10-16 Mingzhe Li , Yi-Fu Cai , Xiulian Wang , Xinmin Zhang

The idea of possible modification to gravity theory, whether it is in the Newtonian or general relativistic premises, is there for quite sometime. Based on it, astrophysical and cosmological problems are targeted to solve. But none of the…

General Relativity and Quantum Cosmology · Physics 2022-01-02 Agrim Sharma , Banibrata Mukhopadhyay

The study of topological defects occurring in vector and tensor fields is an intriguing subject and little explored in the literature. In this article, we analyze the topological defects arising from the spontaneous violation of Lorentz…

High Energy Physics - Theory · Physics 2025-10-16 L. P. Colatto , A. L. A. Penna , W. C. Santos

This paper has three main aims: first, to give a pedagogical introduction to Noether's two theorems and their implications for energy conservation in general relativity, which was a central point of discussion between Hilbert, Klein,…

History and Philosophy of Physics · Physics 2021-04-01 Sebastian De Haro

One of the deepest and most long-standing mysteries in physics has been the huge discrepancy between the observed vacuum density and our expectations from theories of high energy physics, which has been dubbed the Old Cosmological Constant…

Cosmology and Nongalactic Astrophysics · Physics 2012-03-02 Siavash Aslanbeigi , Georg Robbers , Brendan Z. Foster , Kazunori Kohri , Niayesh Afshordi

Lorentz violation has been a popular field in recent years in the search for new physics beyond the Standard Model. We present a general method to build all Lorentz-violating terms in gauge field theories, including ones involving operators…

High Energy Physics - Phenomenology · Physics 2019-10-01 Zonghao Li

We investigate gravitational Cherenkov radiation in a healthy branch of background solutions in the ghost-free bigravity model. In this model, because of the modification of dispersion relations, each polarization mode can possess…

General Relativity and Quantum Cosmology · Physics 2016-09-28 Rampei Kimura , Takahiro Tanaka , Kazuhiro Yamamoto , Yasuho Yamashita

Bekenstein's theory of relativistic gravity is conventionally written as a bi-metric theory. The two metrics are related by a disformal transformation defined by a dynamical vector field and a scalar field. In this comment we show that the…

General Relativity and Quantum Cosmology · Physics 2014-02-18 T. G. Zlosnik , P. G. Ferreira , Glenn D. Starkman

Lorentz violation (LV) is predicted by some quantum gravity (QG) candidates, wherein the canonical energy-momentum dispersion relation, $E^2=p^2+m^2$, is modified. Consequently, new phenomenons beyond the standard model are predicted.…

High Energy Physics - Phenomenology · Physics 2010-12-07 Lijing Shao , Bo-Qiang Ma

Einstein-bumblebee gravity, as a class of massive non-minimally coupled vector-tensor theories, provides a useful framework for constraining Lorentz symmetry breaking through astrophysical observations, largely due to the existence of exact…

General Relativity and Quantum Cosmology · Physics 2026-03-23 Zhe Luo , Shoulong Li , Hongwei Yu

Several energy-momentum "tensors" of gravitational field are considered and compared in the lowest approximation. Each of them together with energy-momentum tensor of point-like particles satisfies the conservation laws when equation of…

High Energy Physics - Theory · Physics 2007-05-23 A. I. Nikishov

We propose a new class of vector fields to construct a conserved charge in a general field theory whose energy momentum tensor is covariantly conserved. We show that there always exists such a vector field in a given field theory even…

General Relativity and Quantum Cosmology · Physics 2021-12-03 Sinya Aoki , Tetsuya Onogi , Shuichi Yokoyama

We entertain the idea that a suitable background of cold (very low momentum) pseudoscalar particles or condensate, may trigger a background that effectively generates Lorentz-invariance violation. This aether-like background induces a…

High Energy Physics - Phenomenology · Physics 2009-12-10 Alexander A. Andrianov , Domenec Espriu , Paola Giacconi , Roberto Soldati

Vacuum Cherenkov radiation is investigated in the Lorentz-violating Standard-Model Extension for isotropic dim-5 operators $\hat{m}$ and $\hat{a}^{\mu}$ in the fermion sector. Both the kinematics and dynamics of this process are analyzed by…

High Energy Physics - Phenomenology · Physics 2025-09-01 A. Yu. Petrov , M. Schreck , A. R. Vieira

This is an introductory review about the on-going search for a signal of Lorentz Invariance Violation (LIV) in cosmic rays. We first summarise basic aspects of cosmic rays, focusing on rays of ultra high energy (UHECRs). We discuss the…

High Energy Physics - Phenomenology · Physics 2015-05-13 Wolfgang Bietenholz

A non-geometrical (but with curved space) theory of gravitation characterized by a vector field representing gravitational matter and a metric tensor presenting space is presented. It is derived from a more general theory of matter and…

General Relativity and Quantum Cosmology · Physics 2008-03-13 Boris Hikin

We proposed a gravitation theory based on an analogy with electrodynamics on the basis of a vector field. For the first time, to calculate the basic gravitational effects in the framework of a vector theory of gravity, we use a Lagrangian…

General Relativity and Quantum Cosmology · Physics 2011-04-20 V. N. Borodikhin

The possibility that a charged particle propagating in a gravitational field described by Brans-Dicke theory of gravity could emit Cerenkov radiation is explored. This process is kinematically allowed depending on parameters occurring in…

General Relativity and Quantum Cosmology · Physics 2016-08-31 G. Lambiase

An alternative theory of gravity has recently been proposed by Bekenstein, named Tensor-Vector-Scalar (TeVeS) theory, which can explain many galactic and cosmological observations without the need for dark matter. Whilst this theory passes…

General Relativity and Quantum Cosmology · Physics 2009-11-13 Hajime Sotani