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A pedagogical description of a simple ungeometrical approach to General Relativity is given, which follows the pattern of well understood field theories, such as electrodynamics. This leads quickly to most of the important weak field…

Astrophysics · Physics 2007-05-23 Norbert Straumann

First and foremost, we show that a 4-dimensional conformally flat generalized Ricci recurrent spacetime $(GR)_4$ is an Einstein manifold. We examine such a spacetime as a solution of $f(R, G)$-gravity theory and it is shown that the…

General Relativity and Quantum Cosmology · Physics 2021-11-16 Avik De , Tee-How Loo , Raja Solanki , P. K. Sahoo

A linear relationship between the Hubble expansion parameter and the time derivative of the scalar field is assumed in order to derive exact analytic cosmological solutions to Einstein's gravity with two fluids: a barotropic perfect fluid…

General Relativity and Quantum Cosmology · Physics 2009-09-29 Olga Arias , Tame Gonzalez , Israel Quiros

We consider the large-$D$ limit of Einstein gravity. It is observed that a consistent leading large-$D$ graph limit exists, and that it is built up by a subclass of planar diagrams. The graphs in the effective field theory extension of…

High Energy Physics - Theory · Physics 2010-04-05 N. E. J. Bjerrum-Bohr

This paper is a continuation of the papers [gr-qc/9409010, gr-qc/9505034]. A revision of the Einstein equation shows that its dynamic incompleteness, contrary to a popular opinion, cannot be circumvented by so-called coordinate conditions.…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Vladimir S. Mashkevich

Inspired by String T-duality and taking into account the zero-point length correction, $l_0$, to the gravitational potential, we construct modified Friedmann equations by applying the first law of thermodynamics on the apparent horizon of…

General Relativity and Quantum Cosmology · Physics 2024-12-17 Giuseppe Gaetano Luciano , Ahmad Sheykhi

It is very likely that the quantum description of spacetime is quite different from what we perceive at large scales, $l\gg (G\hbar/c^3)^{1/2}$. The long wave length description of spacetime, based on Einstein's equations, is similar to the…

General Relativity and Quantum Cosmology · Physics 2009-11-10 T. Padmanabhan

We show that bouncing open or flat Friedmann-Robertson-Walker cosmologies are inconsistent with worldsheet string theory to first approximation. Specifically, the Virasoro constraint translates to the null energy condition in spacetime at…

High Energy Physics - Theory · Physics 2015-01-26 Maulik K. Parikh

It is well-known that $f(R)$ gravity models formulated in Einstein conformal frame are equivalent to Einstein gravity together with a minimally coupled scalar field. In this case, the scalar field couples with the matter sector and the…

General Relativity and Quantum Cosmology · Physics 2015-05-30 Yousef Bisabr

In this paper, we study massive gravity in the presence of Born-Infeld nonlinear electrodynamics. First, we obtain metric function related to this gravity and investigate the geometry of the solutions and find that there is an essential…

High Energy Physics - Theory · Physics 2015-11-25 Seyed Hossein Hendi , Behzad Eslam Panah , Shahram Panahiyan

We study the constraints coming from local causality requirement in various $2+1$ dimensional dynamical theories of gravity. In topologically massive gravity, with a single parity non-invariant massive degree of freedom, and in new massive…

High Energy Physics - Theory · Physics 2017-05-16 Jose D. Edelstein , Gaston Giribet , Carolina Gomez , Ercan Kilicarslan , Matias Leoni , Bayram Tekin

In the framework of finite temperature conformal scalar field theory on de Sitter space-time the linearized Einstein equations for the renormalized stress tensor are exactly solved. In this theory quantum field fluctuations are concentrated…

General Relativity and Quantum Cosmology · Physics 2010-04-06 D. V. Fursaev , G. Miele

The kinematical phase space of classical gravitational field is flat (affine) and unbounded. Because of this, field variables may tend to infinity leading to appearance of singularities, which plague Einstein's theory of gravity. The…

General Relativity and Quantum Cosmology · Physics 2019-08-28 Danilo Artigas Guimarey , Jakub Mielczarek , Carlo Rovelli

We derive rigorous bounds on corrections to Einstein gravity using unitarity and analyticity of graviton scattering amplitudes. In $D\geq 4$ spacetime dimensions, these consistency conditions mandate positive coefficients for certain…

High Energy Physics - Theory · Physics 2016-04-06 Brando Bellazzini , Clifford Cheung , Grant N. Remmen

As one of candidate theories in the construction of regular black holes, Einstein's gravity coupled with nonlinear electrodynamics has been a topic of great concerns. Owing to the coupling between Einstein's gravity and nonlinear…

General Relativity and Quantum Cosmology · Physics 2024-03-05 Yang Guo , Hao Xie , Yan-Gang Miao

The positive energy theorem precludes the possibility of Minkowski flat space decaying by any mechanism. In certain circumstances, however, large quantum fluctuations of the gravitational field could arise---not only at the Planck scale,…

General Relativity and Quantum Cosmology · Physics 2009-10-31 G. Modanese

We propose a nonlocal field theory for gravity in presence of matter consistent with perturbative unitarity, quantum finiteness, and other essential classical properties that we are going to list below. First, the theory exactly reproduces…

General Relativity and Quantum Cosmology · Physics 2021-03-09 Leonardo Modesto

We define the notion of energy, and compute its values, for gravitational systems involving terms quadratic in curvature. While our construction parallels that of ordinary Einstein gravity, there are significant differences both…

High Energy Physics - Theory · Physics 2008-11-26 S. Deser , Bayram Tekin

The present work is a natural continuation of the previous paper arXiv:0911.5597. In this work, within the scope of the Generalized Uncertainty Principle, a model of the high energy deformation for a particular case of Einstein's equations…

High Energy Physics - Theory · Physics 2010-06-25 A. E. Shalyt-Margolin

We provide a quantization of the Schwarzschild spacetime in the presence of a cosmological constant, based on midisuperspace methods developed in the spherically symmetric sector of loop quantum gravity, using in particular the 'improved…

General Relativity and Quantum Cosmology · Physics 2025-03-11 Esteban Mato , Javier Olmedo , Sahil Saini
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