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The Friedmann equation is derived for a Newtonian universe. Changing mass density to energy density gives exactly the Friedmann equation of general relativity. Accounting for work done by pressure then yields the two Einstein equations that…

天体物理学 · 物理学 2015-06-24 Thomas F. Jordan

We present the covariant gravitational equations to describe a four-dimensional brane world in the case with the Gauss-Bonnet term in a bulk spacetime, assuming that gravity is confined on the $Z_2$ symmetric brane. It contains some…

高能物理 - 理论 · 物理学 2009-11-10 Kei-ichi Maeda , Takashi Torii

The energy density of the holographic dark energy is based on the area law of entropy, and thus any modification of the area law leads to a modified holographic energy density. Inspired by the entropy expression associated with the apparent…

广义相对论与量子宇宙学 · 物理学 2016-03-16 A. Sheykhi , M. H. Dehghani , S. Ghaffari

We discuss the comsological evolution of a brane in the $D(>6)$-dimensional black brane spacetime in the context of the Kaluza-Klein (KK) braneworld scheme, i.e., to consider KK compactification on the brane. The bulk spacetime is composed…

高能物理 - 理论 · 物理学 2008-11-26 Masato Minamitsuji

In braneworld models a variable vacuum energy may appear if the size of the extra dimension changes during the evolution of the universe. In this scenario the acceleration of the universe is related not only to the variation of the…

广义相对论与量子宇宙学 · 物理学 2015-06-25 J. Ponce de Leon

We present the effective equations to describe the four-dimensional gravity of a brane world, assuming that a five-dimensional bulk spacetime satisfies the Einstein equations and gravity is confined on the $Z_2$ symmetric brane. Applying…

广义相对论与量子宇宙学 · 物理学 2011-05-05 Kei-ichi Maeda , Shuntaro Mizuno , Takashi Torii

Using modified gravity with non-linear terms of curvature, $R^2$ and $R^{(r +2)}$ (with $r$ being the positive real number and $R$ being the scalar curvature), cosmological scenario,beginning at the Planck scale, is obtained. Here, a…

高能物理 - 理论 · 物理学 2008-11-26 S. K. Srivastava

We study some aspects of cosmologies in 5D models with one infinite extra dimension. Matter is confined to the brane, gravity extends to the bulk. Models with positive and negative tension of the brane are considered. Cosmological evolution…

宇宙学与河外天体物理 · 物理学 2015-05-13 Mikhail Z. Iofa

We study the late acceleration of the universe by incorporating bulk viscous matter with the running vacuum. The vacuum energy density varies as the squares of the Hubble parameter ($\rho_{\Lambda}\propto H^2$), and the coefficient of bulk…

广义相对论与量子宇宙学 · 物理学 2022-04-27 Sarath N , Jerin Mohan N D , Titus K Mathew

We show that modelling the universe as a pre-geometric system with emergent quantum modes, and then constructing the classical limit, we obtain a new account of space and gravity that goes beyond Newtonian gravity even in the…

综合物理 · 物理学 2007-09-20 Reginald T Cahill

The emergence of the cosmological composition (the reheating era) after the inflationary period is analyzed in the framework of the braneworld models, in which our Universe is a three-brane embedded in a five-dimensional bulk, by assuming…

广义相对论与量子宇宙学 · 物理学 2009-11-18 T. Harko , W. F. Choi , K. C. Wong , K. S. Cheng

In this paper, we explore the five-dimensional f(T,B) teleparallel modified gravity with f_1(T,B)=T+k_1B^{n_1} and f_2(T,B)=B+k_2T^{n_2} in the brane scenario. Asymptotically, the bulk geometry converges to an AdS_5 spacetime whose…

高能物理 - 理论 · 物理学 2021-03-31 A. R. P. Moreira , J. E. G. Silva , F. C. E. Lima , C. A. S. Almeida

Solutions of geodesic equations describing propagation of gravitons in the bulk are studied in a cosmological model with one extra dimension. Brane with matter is embedded in the bulk. It is shown that in the period of early cosmology…

高能物理 - 理论 · 物理学 2015-06-05 Mikhail Z. Iofa

Brane-world cosmology is motivated by recent developments in string/M-theory and offers a new perspective on the hierarchy problem. In the brane-world scenario, our Universe is a four-dimensional subspace or {\em brane} embedded in a…

天体物理学 · 物理学 2009-11-11 A. A. Coley

We review the relation between entropy bounds to rewrite Friedmann equation on the brane in terms of three entropy bounds: Bekenstein-Verlinde ($S_{BV}$); Bekenstein-Hawking bound ($S_{BH}$); Hubble bound ($S_H$). For a strongly coupled…

高能物理 - 理论 · 物理学 2008-11-26 Y. S. Myung

We discuss a Brane World scenario where we live on a 3-brane with massive gravity in infinite-volume bulk. The bulk graviton can be much heavier than the inverse Hubble size, as heavy as the bulk Planck scale, whose lower bound is roughly…

高能物理 - 理论 · 物理学 2015-06-19 Zurab Kakushadze

We have investigated the evolution of a homogeneous isotropic background of the Universe and inhomogeneous subhorizon matter density perturbations in viable $f(R)$ models of present dark energy and cosmic acceleration analytically and…

宇宙学与河外天体物理 · 物理学 2011-08-05 Hayato Motohashi , Alexei A. Starobinsky , Jun'ichi Yokoyama

We consider the cosmological evolution of a bulk scalar field and ordinary matter living on the brane world in the light of the constraints imposed by the matter dominated cosmological evolution and a small cosmological constant now. We…

高能物理 - 理论 · 物理学 2016-09-06 Ph. Brax , A. C. Davis

We propose an effective model for an exponentially expanding universe in the brane-world scenario. The setup consists of a 5D black hole and a brane close to the black hole horizon. In case the brane acquires a specific configuration, which…

高能物理 - 理论 · 物理学 2022-11-24 Ida M. Rasulian

A brane scenario is envisaged in which the $m$-dimensional bulk is endowed with a Gauss-Bonnet term and localization of matter on the brane is achieved by means of a confining potential. The resulting Friedmann equations on the brane are…

广义相对论与量子宇宙学 · 物理学 2008-11-26 M. Heydari-Fard , H. R. Sepangi
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