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Nonlocal terms in the Einstein Hilbert(EH) action appears as IR corrections in effective theory of quantum gravity. Here we have considered such an action keeping the terms which are quadratic in Ricci Scalar. We obtain the solution for a…

广义相对论与量子宇宙学 · 物理学 2018-10-10 Utkarsh Kumar , Sukanta Panda

We analyze an alternative theory of gravity characterized by metrics that are tensor density of rank(0,2)and weight-1/2.The metric compatibility condition is supposed to hold. The simplest expression for the action of gravitational field is…

广义相对论与量子宇宙学 · 物理学 2008-12-18 Amir H. Abbassi , Amir M. Abbassi

We study spherically symmetric static empty space solutions in $R+\varepsilon/R$ model of $f(R)$ gravity. We show that the Schwarzschild metric is an exact solution of the resulted field equations and consequently there are general…

综合物理 · 物理学 2015-06-03 Kh. Saaidi , S. W. Rabiei , A. Aghamohammadi

We explore possible cosmological consequences of a running Newton's constant $ G ( \Box ) $, as suggested by the non-trivial ultraviolet fixed point scenario in the quantum field-theoretic treatment of Einstein gravity with a cosmological…

广义相对论与量子宇宙学 · 物理学 2011-09-08 Herbert W. Hamber , Reiko Toriumi

1- It is shown that the upper bound for $\alpha$ in the general solutions of spherically symmetric vacuum field equations(gr-qc/9812081,$\Lambda$=0) is nearly 10^3.This has been obtained by comparing the theoretical prediction for bending…

广义相对论与量子宇宙学 · 物理学 2008-11-26 Soheila Gharanfoli , Amir H. Abbassi

A family of spherically symmetric solutions in the model with m-component anisotropic fluid is considered. The metric of the solution depends on parameters q_s, s = 1,...,m, relating radial pressures and the densities and contains (n -1)m…

广义相对论与量子宇宙学 · 物理学 2008-12-18 H. Dehnen , V. D. Ivashchuk

In this work, we study spherically symmetric vacuum solutions in 1-parameter New General Relativity (NGR), a specific theory in teleparallel gravity which is constructed from the three possible quadratic scalars obtained from torsion with…

广义相对论与量子宇宙学 · 物理学 2024-03-13 Helen Asuküla , Sebastian Bahamonde , Manuel Hohmann , Vasiliki Karanasou , Christian Pfeifer , João Luís Rosa

We consider spherically symmetric motions of inviscid compressible gas surrounding a solid ball under the gravity of the core. Equilibria touch the vacuum with finite radii, and the linearized equation around one of the equilibria has…

偏微分方程分析 · 数学 2015-08-21 Tetu Makino

The existence of a non-zero cosmological constant $\Lambda$ gives rise to controversial interpretations. Is $\Lambda$ a universal constant fixing the geometry of an empty universe, as fundamental as the Planck constant or the speed of light…

广义相对论与量子宇宙学 · 物理学 2012-09-25 Jean-Pierre Gazeau , Mario Novello

We study the cosmology of a specific class of nonlocal model of modified gravity, the so-called Deser-Woodard (DW) model, modifying the Einstein-Hilbert action by a term $\sim R f(\Box^{-1}R)$, where $f$ is a free function. Choosing $f$ so…

宇宙学与河外天体物理 · 物理学 2019-04-18 Luca Amendola , Yves Dirian , Henrik Nersisyan , Sohyun Park

We present a systematic study of spherically symmetric vacuum solutions of the IKKT matrix model, within the framework of semi-classical covariant quantum geometries. All asymptotically flat solutions of the equations of motion of the frame…

高能物理 - 理论 · 物理学 2022-06-15 Yuhma Asano , Harold C. Steinacker

In this paper, I study spherically symmetric solutions in a simple class of geometric sigma models of the Universe. This class of models is a subclass of the wider class of scalar-tensor theories of gravity. The purpose of this work is to…

广义相对论与量子宇宙学 · 物理学 2018-08-08 Milovan Vasilić

We consider the possibility of generalizing the Newtonian law of gravity and the transition to a general relativistic model for weak fields with the inclusion of a repulsive term identified as a cosmological constant. The analysis includes…

广义相对论与量子宇宙学 · 物理学 2020-12-10 N. N. Fimin , V. M. Chechetkin

Gravitational model of non-minimally coupled Brans Dicke (BD) scalar field $\phi$ with dynamical unit time-like four vector field is used to study flat Robertson Walker (RW) cosmology in the presence of variable cosmological parameter…

广义相对论与量子宇宙学 · 物理学 2015-09-25 Hossein Ghaffarnejad

We derive and discus the equations of motion for spinless matter: relativistic spinless scalar fields, particles and fluids in the recently proposed by A. Saa model of gravity with covariantly constant volume with respect to the transposed…

广义相对论与量子宇宙学 · 物理学 2015-06-25 P. P. Fiziev

Einstein field equations under spherically symmetric space-times are considered here in connection to dark energy investigation. A set of solutions are obtained for a kinematical $\Lambda$ model, viz., $\Lambda \sim (\dot a/a)^2$ without…

广义相对论与量子宇宙学 · 物理学 2009-05-12 Utpal Mukhopadhyay , P. C. Ray , Saibal Ray , S. B. Datta Choudhury

We derive the equations governing static, spherically symmetric vacuum solutions to the Einstein equations, as modified by the frame-dependent effective action arising from trace dynamics. We give analytic and numerical results for the…

广义相对论与量子宇宙学 · 物理学 2015-06-04 Stephen L. Adler , Fethi M. Ramazanoglu

This work is based on stability analysis of spherically symmetric collapsing star surrounding in locally anisotropic environment in $f(R,T)$ gravity, where $R$ is Ricci scalar and $T$ corresponds to the trace of energy momentum tensor.…

综合物理 · 物理学 2014-11-26 Ifra Noureen , M. Zubair

In this paper we study how to include the cosmological constant in geometric scalar theory of gravity (GSG). Firstly we show that the cosmological constant could not be modeled by a matter field, unlike in General Relativity. We also show…

广义相对论与量子宇宙学 · 物理学 2015-09-11 I. C. Jardim , R. R. Landim

We derive the effect of the Schr\"odinger--Newton equation, which can be considered as a non-relativistic limit of classical gravity, for a composite quantum system in the regime of high energies. Such meson-antimeson systems exhibit very…

量子物理 · 物理学 2015-03-27 André Großardt , Beatrix C. Hiesmayr