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The gravitational couplings of matter are studied in the presence of Lorentz and CPT violation. At leading order in the coefficients for Lorentz violation, the relativistic quantum hamiltonian is derived from the gravitationally coupled…

General Relativity and Quantum Cosmology · Physics 2011-02-25 Alan Kostelecky , Jay Tasson

Recent tentative experimental indications, and the subsequent theoretical speculations, regarding possible violations of Lorentz invariance have attracted a vast amount of attention. An important technical issue that considerably…

High Energy Physics - Phenomenology · Physics 2017-11-29 Valentina Baccetti , Kyle Tate , Matt Visser

The fundamental issues of microcausality and energy positivity conditions are important to be investigated in the context of spontaneous Lorentz violating theories. We check the microcausality and energy positivity conditions for a free…

General Relativity and Quantum Cosmology · Physics 2020-09-04 Sandeep Aashish

The exact static spherically symmetric solutions for pure-aether theory and Einstein-aether theory are presented. It is shown that both theories can deliver the Schwarzschild metric, but only the Einstein-aether theory contains solutions…

General Relativity and Quantum Cosmology · Physics 2010-03-30 Boris Hikin

We consider a class of field theories with a four-vector field $A_{\mu}(x)$ in addition to other fields supplied with a global charge symmetry - theories which have partial gauge symmetry in the sense of only imposing it on those terms in…

High Energy Physics - Theory · Physics 2009-08-11 J. L. Chkareuli , C. D. Froggatt , H. B. Nielsen

A certain vector-tensor theory is revisited. Our attention is focused on cosmology. Against previous suggestions based on preliminary studies, it is shown that, if the energy density of the vector field is large enough to play the role of…

Cosmology and Nongalactic Astrophysics · Physics 2012-07-04 R. Dale , D. Saez

A discrete space-time structure lying at about the Planck scale may become manifest in the form of very small violations of the conservation of the matter energy-momentum tensor. In order to include such kind of violations, forbidden within…

Cosmology and Nongalactic Astrophysics · Physics 2022-11-15 Susana J. Landau , Micol Benetti , Alejandro Perez , Daniel Sudarsky

Five-vectors theory of gravity is proposed, which admits an arbitrary choice of the energy density reference level. This theory is formulated as the constraint theory, where the Lagrange multipliers turn out to be restricted to some class…

General Relativity and Quantum Cosmology · Physics 2019-04-02 S. L. Cherkas , V. L. Kalashnikov

We propose a new classical theory of gravity which is based on the principle of equivalence and assumption that gravity, similarly to electrodynamics, is described by a vector field in Minkowski space-time. We show that such assumptions…

General Relativity and Quantum Cosmology · Physics 2009-04-22 Anatoly A. Svidzinsky

A simple general relativity theory for objects moving in gravitational fields is developed based on studying the behavior of an atom in a gravitational field. The theory is applied to calculate the satellite time dilation, light deflection…

General Physics · Physics 2007-05-23 Yehea I. Ismail

We show that in the framework of noncommutative classical electrodynamics Cherenkov radiation is permitted in vacuum and we explicitly compute its spectrum at first order in the noncommutative parameter. We discuss the phenomenological…

High Energy Physics - Phenomenology · Physics 2010-12-17 Paolo Castorina , Alfredo Iorio , Dario Zappala'

In a foregoing paper, gravity has been interpreted as the pressure force exerted on matter at the scale of elementary particles by a perfect fluid. Under the condition that Newtonian gravity must be recovered in the incompressible case, a…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Mayeul Arminjon

Einstein-aether gravity is a theory that breaks the local Lorentz symmetry by introducing a preferred direction via a vector field, which is considered to play the role of an aether. The theory is identified by four coupling constants…

General Relativity and Quantum Cosmology · Physics 2025-05-27 Kamal Hajian

A stress-energy tensor for linear gravity adapted to the harmonic gauge was recently proposed by Butcher, Hobson and Lasenby. By removing gauge constraints and imposing full metrical GR, we find a natural generalisation to the pseudotensor…

General Relativity and Quantum Cosmology · Physics 2020-03-06 William E V Barker , Anthony N Lasenby , Michael P Hobson , William J Handley

We reconsider an alternative theory of the QED with the photon as a massless vector Nambu-Goldstone boson and show that the underlying spontaneous Lorentz violation caused by the vector field vacuum expectation value, while being…

High Energy Physics - Theory · Physics 2008-11-26 J. L. Chkareuli , Z. Kepuladze , G. Tatishvili

The Aether Scalar Tensor (AeST) theory is an extension of General Relativity (GR), proposed for addressing galactic and cosmological observations without dark matter. By casting the AeST theory into a $3+1$ form, we determine its full…

General Relativity and Quantum Cosmology · Physics 2024-12-03 Marianthi Bataki , Constantinos Skordis , Tom Zlosnik

We review the underpinnings of the standard Newton-Einstein theory of gravity, and identify where it could possibly go wrong. In particular, we discuss the logical independence from each other of the general covariance principle, the…

Astrophysics · Physics 2009-11-11 Philip D. Mannheim

The models of New General Relativity have recently got attention of research community, and there are some works studying their dynamical properties. The formal aspects of this investigation have been mostly restricted to the primary…

General Relativity and Quantum Cosmology · Physics 2024-01-03 Alexey Golovnev , A. N. Semenova , V. P. Vandeev

Einstein-aether theory provides a model to test the validity of local Lorentz invariance in gravitational interactions. The speed of gravitational waves as measured from the binary neutron star event GW170817 sets stringent limits on…

General Relativity and Quantum Cosmology · Physics 2025-08-06 Julius Streibert , Hector O. Silva , Miguel Zumalacárregui

Lorentz violation through a radiatively induced Chern-Simons-like term in a fermionic theory embedded in linearized quantum gravity with a Lorentz- and CPT-violating axial-vector term in the fermionic sector proportional to a constant field…

High Energy Physics - Theory · Physics 2014-06-20 J. C. C. Felipe , A. R. Vieira , A. L. Cherchiglia , A. P. Baêta Scarpelli , Marcos Sampaio