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In this lecture I address the issue of possible large distance modification of gravity and its observational consequences. Although, for the illustrative purposes we focus on a particular simple generally-covariant example, our conclusions…

High Energy Physics - Theory · Physics 2007-05-23 Gia Dvali

We propose a novel approach to the problem of cosmological perturbations in a braneworld model with induced gravity, which leads to a closed system of equations on the brane. We focus on a spatially closed brane that bounds the interior…

General Relativity and Quantum Cosmology · Physics 2014-04-23 Alexander Viznyuk , Yuri Shtanov , Varun Sahni

We investigate the phenomenon of clustering of galaxies in an expanding universe by applying the fluctuation theory. We evaluate the fluctuation moments for the number of particles and the correlated fluctuations for number and energy of…

Cosmology and Nongalactic Astrophysics · Physics 2025-08-07 M. S. Khan , M. H. Abdullah , Shah Zahir , Farooq Owais , Azmat Khan

We consider a brane world and its gravitational linear perturbations. We present a general solution of the perturbations in the bulk and find the complete perturbed junction conditions for generic brane dynamics. We also prove that (spin 2)…

High Energy Physics - Theory · Physics 2009-11-10 Adenauer G. Casali , Elcio Abdalla , Bin Wang

We consider cosmological models where the universe, governed by Einstein's equations, is a piece of a five dimensional double-sided anti-de Sitter spacetime (that is, a "$Z_2$-symmetric bulk") with matter confined to its four dimensional…

High Energy Physics - Theory · Physics 2009-10-31 Nathalie Deruelle , Tomas Dolezel , Joseph Katz

A modified gravitational theory explains early universe and late time cosmology, galaxy and galaxy cluster dynamics. The modified gravity (MOG) theory extends general relativity (GR) by three extra degrees of freedom: a scalar field $G$,…

General Relativity and Quantum Cosmology · Physics 2020-10-30 J. W. Moffat

Linear perturbation is used to investigate the effect of gravitational softening on the retrieved two-armed spiral eigenmodes of razor-thin stellar discs. We explore four softening kernels with different degrees of gravity bias, and…

Astrophysics of Galaxies · Physics 2019-02-27 Sven De Rijcke , Jean-Baptiste Fouvry , Walter Dehnen

Finite temperature effects in brane world cosmology are studied by considering the interaction between scalar field and bulk gravity. One-loop correction to zero-temperature potential is computed by taking into account, interaction of…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Rizwan Ul Haq Ansari , P K Suresh

We derive the gauge invariant perturbation equations for a 5-dimensional bulk spacetime in the presence of a brane. The equations are derived in full generality, without specifying a particular energy content of the bulk or the brane. We do…

High Energy Physics - Theory · Physics 2007-05-23 Alain Riazuelo , Filippo Vernizzi , Danièle Steer , Ruth Durrer

Mass clumps in gravitational lens galaxies can perturb lensed images in characteristic ways. Strong lens flux ratios have been used to constrain the amount of dark matter substructure in lens galaxies, and various other observables have…

Cosmology and Nongalactic Astrophysics · Physics 2009-08-24 Charles R. Keeton

In the standard brane world models, the bulk metric ansatz is usually assumed to be factorizable in brane and bulk coordinates. However, it is not self-evident that it is always possible to factorize the bulk metric. Using the gradient…

General Relativity and Quantum Cosmology · Physics 2015-08-04 Sumanta Chakraborty , Soumitra SenGupta

We study the thick brane world system constructed in the recently proposed $f(R,T)$ theories of gravity, with $R$ the Ricci scalar and $T$ the trace of the energy-momentum tensor. We try to get the analytic background solutions and discuss…

High Energy Physics - Theory · Physics 2017-02-24 Bao-Min Gu , Yu-Peng Zhang , Hao Yu , Yu-Xiao Liu

We propose a new cosmological test of gravity, by using the observed mass fraction of X-ray emitting gas in massive galaxy clusters. The cluster gas fraction, believed to be a fair sample of the average baryon fraction in the Universe, is a…

Cosmology and Nongalactic Astrophysics · Physics 2015-12-23 Baojiu Li , Jian-hua He , Liang Gao

Globular clusters (GCs) in the Milky Way have characteristic velocity dispersions that are consistent with the predictions of Newtonian gravity, and may be at odds with Modified Newtonian Dynamics (MOND). We discuss a modified gravity (MOG)…

Astrophysics · Physics 2008-06-14 J. W. Moffat , V. T. Toth

A manifestly gauge-invariant theory of gravitational fluctuations of brane-world scenarios is discussed. Without resorting to any specific gauge choice, a general method is presented in order to disentangle the fluctuations of the brane…

High Energy Physics - Theory · Physics 2007-05-23 Massimo Giovannini

Self-gravitating systems have acquired growing interest in statistical mechanics, due to the peculiarities of the 1/r potential. Indeed, the usual approach of statistical mechanics cannot be applied to a system of many point particles…

Statistical Mechanics · Physics 2015-06-24 M. Bottaccio , L. Pietronero , A. Amici , P. Moicchi , R. Capuzzo Dolcetta , M. Montuori

We use nonlinear perturbation theory to obtain new solutions for brane world models that incorporate a massive bulk scalar field. We then consider tensor perturbations and show that Newtonian gravity is recovered on the brane for both a…

High Energy Physics - Phenomenology · Physics 2009-11-10 M. Parry , S. Pichler

In this work, we study the gravitational quasinormal modes and the gravitational echoes of a double braneworld. The double braneworld is a kind of split thick brane, which is crucial for addressing the hierarchy problem in the thick brane…

General Relativity and Quantum Cosmology · Physics 2025-12-16 Qin Tan , Sheng Long , Weike Deng , Jiliang Jing

We identify the fluctuations of the partition function for a class of random energy models, where the energies are given by the positions of the particles of the complex-valued branching Brownian motion (BBM). Specifically, we provide the…

Probability · Mathematics 2015-10-28 Lisa Hartung , Anton Klimovsky

We examine the dynamics of the gravitational collapse in a 4-dim Lorentzian brane embedded in a 5-dim bulk with an extra timelike dimension. By considering the collapse of pure dust on the brane we derive a bouncing FLRW interior solution…

General Relativity and Quantum Cosmology · Physics 2013-01-23 Rodrigo Maier , Ivano Damião Soares
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