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We construct an exact relativistic cosmology in which an inhomogeneous but isotropic local region has fractal number counts and matches to a homogeneous background at a scale of the order of $10^2$ Mpc. We show that Einstein's equations and…

广义相对论与量子宇宙学 · 物理学 2009-10-31 Neil Humphreys , David Matravers , Roy Maartens

Cosmologies with a time dependent Newton constant and cosmological constant are investigated. The scale dependence of $G$ and $\Lambda$ is governed by a set of renormalization group equations which is coupled to Einstein's equation in a…

天体物理学 · 物理学 2014-10-13 A. Bonanno , M. Reuter

We consider inhomogeneous spherically symmetric models based on the Lema\^{i}tre-Tolman-Bondi (LTB) metric, assuming as its source an interactive mixture of ordinary baryonic matter, cold dark matter and dark energy with a coupling term…

广义相对论与量子宇宙学 · 物理学 2022-07-07 Roberto C. Blanquet-Jaramillo , Roberto A. Sussman , Maximo Aguero , German Izquierdo

A low matter density decaying vacuum cosmology is proposed on the assumption that the universe's radius is a complex quantity \hat{R} if it is regarded as having a zero energy-momentum tensor. But we find that when the radius is real, it…

广义相对论与量子宇宙学 · 物理学 2008-11-26 Moncy V. John , K. Babu Joseph

In this manuscript, we put forth a general scheme for defining initial value problems from Einstein's equations of General Relativity constrained by homogeneous and isotropic expansion. The cosmological models arising as solutions are…

广义相对论与量子宇宙学 · 物理学 2024-08-06 Leandro G. Gomes , Marcelo A. C. Nogueira , Lucas Ruiz dos Santos

The quasi-isotropic inhomogeneous solution of the Einstein equations near a cosmological singularity in the form of a series expansion in the synchronous system of reference, first found by Lifshitz and Khalatnikov in 1960, is generalized…

广义相对论与量子宇宙学 · 物理学 2009-11-10 I. M. Khalatnikov , A. Yu. Kamenshchik , M. Martellini , A. A. Starobinsky

We examine the evolution of an inhomogeneous mixture of non-relativistic pressureless cold dark matter (CDM), coupled to dark energy (DE) characterised by the equation of state parameter $w<-1/3$, with the interaction term proportional to…

广义相对论与量子宇宙学 · 物理学 2018-04-18 Germán Izquierdo , Roberto C Blanquet-Jaramillo , Roberto A Sussman

In this paper, we study the thermodynamical and mathematical consistencies for a non-singular early-time viscous cosmological model known as soft-Big Bang, which was previously found in [N. Cruz, E. Gonz\'alez, and J. Jovel, Phys. Rev. D…

广义相对论与量子宇宙学 · 物理学 2023-10-12 Norman Cruz , Esteban González , Jose Jovel

Motivated by the notion that the mathematics of gravity can be reproduced from a statistical requirement of maximal entropy, we study the consequence of introducing an entropic source term in the Einstein-Hilbert action. For a spatially…

广义相对论与量子宇宙学 · 物理学 2024-03-20 Soumya Chakrabarti

We model the large scale late time universe as a Lambda-CDM cosmology driven by cosmological constant and perfect dust fluid. Our aim is to find new solutions in the matter and Lambda epoch consistent with inflationary initial conditions,…

高能物理 - 理论 · 物理学 2013-05-29 Toby Wiseman , Benjamin Withers

Most cosmological models studied today are based on the assumption of homogeneity and isotropy. Observationally one can find evidence that supports these assumptions on very large scales, the strongest being the almost isotropy of the…

天体物理学 · 物理学 2007-05-23 Christian Sicka , Thomas Buchert , Martin Kerscher

We review and clarify ideas proposed many years ago for understanding cosmology in a holographic framework. The basic strategy is to use Jacobson's\cite{ted95} identification of Einstein's equations with the hydrodynamic equations of the…

高能物理 - 理论 · 物理学 2022-08-19 T. Banks

We provide new exact solutions to the Einstein-Maxwell system of equations which are physically reasonable. The spacetime is static and spherically symmetric with a charged matter distribution. We utilise an equation of state which is…

广义相对论与量子宇宙学 · 物理学 2015-06-12 S. D. Maharaj , P. Mafa Takisa

Some new exact solutions of Einstein's field equations have come forth within the scope of a spatially homogeneous and anisotropic Bianchi type-III space-time filled with barotropic fluid and dark energy by considering a variable…

宇宙学与河外天体物理 · 物理学 2014-03-20 Hassan Amirhashchi , Anirudh Pradhan , Rekha Jaiswal

We investigate some new similarity inhomogeneous solutions of anisotropic dark energy and perfect fluid in Bianchi type-I space-time. Three different equation of state parameters along the spatial directions are introduced to quantify the…

广义相对论与量子宇宙学 · 物理学 2018-04-12 Ahmad T Ali , Anil Kumar Yadav , Abdulah K Alzahrani

We obtain an approximate global stationary and axisymmetric solution of Einstein's equations which can be considered as a simple star model: a self-gravitating perfect fluid ball with constant mass density rotating in rigid motion. Using…

广义相对论与量子宇宙学 · 物理学 2008-11-26 J. A. Cabezas , J. Martin-Martin , A. Molina , E. Ruiz

We present an exact solution to the Boltzmann equation which describes a system undergoing boost-invariant longitudinal and azimuthally symmetric radial expansion for arbitrary shear viscosity to entropy density ratio. This new solution is…

高能物理 - 唯象学 · 物理学 2014-12-30 Gabriel S. Denicol , Ulrich W. Heinz , Mauricio Martinez , Jorge Noronha , Michael Strickland

Starting from a perfect cosmological fluid represented by the energy momentum tensor T_uv, one class of frequency metrics that satisfies both Einstein's general relativistic equation and the perfect fluid condition is: g_uv = e^iwt N_uv.…

广义相对论与量子宇宙学 · 物理学 2007-05-23 Walter Christensen

We present new exact inhomogeneous vacuum cosmological solutions of Einstein's equations. They provide new information about the nature of general cosmological solutions to Einstein's equations.

广义相对论与量子宇宙学 · 物理学 2007-05-23 John D. Barrow , Kerstin E. Kunze

In metric-affine gravity, both the gravitational and matter actions depend not just on the metric, but also on the independent affine connection. Thus matter can be modeled as a hyperfluid, characterized by both the energy-momentum and…

广义相对论与量子宇宙学 · 物理学 2025-03-25 Ilaria Andrei , Damianos Iosifidis , Laur Järv , Margus Saal