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Four-dimensional Einstein's General Relativity is shown to arise from a gauge theory for the conformal group, SO(4,2). The theory is constructed from a topological dimensional reduction of the six-dimensional Euler density integrated over a…

High Energy Physics - Theory · Physics 2008-11-26 Andres Anabalon , Steven Willison , Jorge Zanelli

With the dark energy phenomena explored over a decade, in this present work we discuss a specific case of the generalized Einstein-aether theories, in which the modified Friedmann Equation is similar to that in the Dvali-Gabadadze-Porrati…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-30 Xin-He Meng , Xiao-Long Du

We study supersymmetric extension of the Einstein-aether gravitational model where local Lorentz invariance is broken down to the subgroup of spatial rotations by a vacuum expectation value of a timelike vector field called aether.…

High Energy Physics - Theory · Physics 2021-10-26 Arthur Marakulin , Sergey Sibiryakov

The construction of an averaged theory of gravity based on Einstein's General Relativity is very difficult due to the non-linear nature of the gravitational field equations. This problem is further exacerbated by the difficulty in defining…

General Relativity and Quantum Cosmology · Physics 2010-04-16 R. J. van den Hoogen

A century ago, Einstein formulated his elegant and elaborate theory of General Relativity, which has so far withstood a multitude of empirical tests with remarkable success. Notwithstanding the triumphs of Einstein's theory, the tenacious…

General Relativity and Quantum Cosmology · Physics 2019-05-01 Lavinia Heisenberg

Taking a hint from Dirac's large number hypothesis, we note the existence of cosmologically combined conservation laws that work to cosmologically long time. We thus modify Einstein's theory of general relativity with fixed gravitation…

General Relativity and Quantum Cosmology · Physics 2018-01-17 H. W. Peng

A class of positive curvature spatially homogeneous but anisotropic cosmological models within an Einstein-aether gravitational framework are investigated. The matter source is assumed to be a scalar field which is coupled to the expansion…

General Relativity and Quantum Cosmology · Physics 2019-03-27 R. J. van den Hoogen , A. A. Coley , B. Alhulaimi , S. Mohandas , E. Knighton , S. O'Neil

In this paper, we examine the relationship between general relativity and the theory of Einstein algebras. We show that according to a formal criterion for theoretical equivalence recently proposed by Halvorson (2012, 2015) and Weatherall…

History and Philosophy of Physics · Physics 2015-09-02 Sarita Rosenstock , Thomas William Barrett , James Owen Weatherall

Modifications of General Relativity usually include extra dynamical degrees of freedom, which to date remain undetected. Here we explore the possibility of modifying Einstein's theory by adding solely nondynamical fields. With the minimal…

General Relativity and Quantum Cosmology · Physics 2014-01-07 Paolo Pani , Thomas P. Sotiriou , Daniele Vernieri

In this paper we study the observational constraints that can be imposed on the coupling parameter, $\hat \alpha$, of the regularized version of the 4-dimensional Einstein-Gauss-Bonnet theory of gravity. We use the scalar-tensor field…

General Relativity and Quantum Cosmology · Physics 2020-10-08 Timothy Clifton , Pedro Carrilho , Pedro G. S. Fernandes , David J. Mulryne

Observed physical phenomena can be described well by quantum mechanics or general relativity. People may try to find an unified fundamental theory which mainly aims to merge gravity with quantum theory. However, difficulty in merging those…

General Physics · Physics 2009-11-10 Chang-Yu Zhu , Heng Fan

A broad class of generalized Einstein's gravity can be cast into Einstein's gravity with a minimally coupled scalar field using suitable conformal rescaling of the metric. Using this conformal equivalence between the theories, we derive the…

General Relativity and Quantum Cosmology · Physics 2011-09-30 J. Hwang

One of the greatest challenges facing theoretical physics lies in reconciling Einstein's classical theory of gravity - general relativity - with quantum field theory. Although both theories have been experimentally supported in their…

General Relativity and Quantum Cosmology · Physics 2007-05-23 G. Au

A generalization of General Relativity is studied. The standard Einstein-Hilbert action is considered in the Palatini formalism, where the connection and the metric are independent variables, and the connection is not symmetric. As a result…

General Relativity and Quantum Cosmology · Physics 2018-03-21 N. V. Kharuk , S. A. Paston , A. A. Sheykin

The theory of measurement is employed to elucidate the physical basis of general relativity. For measurements involving phenomena with intrinsic length or time scales, such scales must in general be negligible compared to the (translational…

General Relativity and Quantum Cosmology · Physics 2015-06-25 Bahram Mashhoon

Spacetime curvature plays the primary role in general relativity but Einstein later considered a theory where torsion was the central quantity. Just as the Einstein-Hilbert action in the Ricci curvature scalar R can be generalized to f(R)…

Cosmology and Nongalactic Astrophysics · Physics 2010-08-27 Eric V. Linder

The confrontation between General Relativity and experimental results, notably binary pulsar data, is summarized and its significance discussed. The agreement between experiment and theory is numerically very impressive. However, some…

General Relativity and Quantum Cosmology · Physics 2007-05-23 T. Damour

Recently it was observed that the first law of Entanglement leads to the linearized Einstein equation. In this paper, we point out that the gravity dual of an relative entropy expression is equivalent to the full non-linear Einstein…

High Energy Physics - Theory · Physics 2018-07-18 Eunseok Oh , I. Y. Park , Sang-Jin Sin

The set of 10 covariant vector fields is taken as basic variables to describe the gravitational field. Metric $ g_{\mu\nu} $ is a composite field. A possibility for the gravitational constant to be described as a condensate of additional…

High Energy Physics - Theory · Physics 2009-11-16 L. D. Faddeev

We study the Einstein-aether theory in Weyl integrable geometry. The scalar field which defines the Weyl affine connection is introduced in the gravitational field equation. We end up with an Einstein-aether scalar field model where the…

General Relativity and Quantum Cosmology · Physics 2020-12-30 Andronikos Paliathanasis , Genly Leon , John D. Barrow
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