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We present a simple gedanken experiment in which a compact object traverses a spacetime with three macroscopic spatial dimensions and $n$ compact dimensions. The compactification radius is allowed to vary, as a function of the object's…

General Relativity and Quantum Cosmology · Physics 2023-05-08 Matthew J. Lake , Shi-Dong Liang , Anucha Watcharapasorn

We consider a lattice gas in spaces of dimensionality $\mathcal{D}=1,2,3$. The particles are subject to a hardcore exclusion interaction and an attractive pair interaction that satisfies Gauss' law as do Newtonian gravity in…

Statistical Mechanics · Physics 2018-05-02 Benaoumeur Bakhti , Divana Boukari , Michael Karbach , Philipp Maass , Gerhard Müller

Numerical simulations are presented to study the stability of gaps opened by giant planets in 3D self-gravitating disks. In weakly self-gravitating disks, a few vortices develop at the gap edge and merge on orbital time-scales. The result…

Earth and Planetary Astrophysics · Physics 2013-05-01 Min-Kai Lin

We study the space-time geometry generated by coupling a free scalar field with a non-canonical kinetic term to General Relativity in $(2+1)$ dimensions. After identifying a family of scalar Lagrangians that yield exact analytical solutions…

General Relativity and Quantum Cosmology · Physics 2024-06-25 Roberto V. Maluf , Gerardo Mora-Pérez , Gonzalo J. Olmo , Diego Rubiera-Garcia

We determine the mass-radius relation of relativistic white dwarf stars (a self-gravitating degenerate Fermi gas at T=0) in a D-dimensional universe and study the influence of the dimension of space on the laws of physics when we combine…

Astrophysics · Physics 2008-11-26 P. H. Chavanis

We present new solutions of warped compactifications in the higher-dimensional gravity coupled to the scalar and the form field strengths. These solutions are constructed in the D-dimensional spacetime with matter fields, with the internal…

High Energy Physics - Theory · Physics 2012-03-15 Masato Minamitsuji , Kunihito Uzawa

We consider discretized gravity in six dimensions, where the two extra dimensions have been compactified on a hyperbolic disk of constant curvature. We analyze different realizations of lattice gravity on the disk at the level of an…

High Energy Physics - Theory · Physics 2008-11-26 Florian Bauer , Tomas Hallgren , Gerhart Seidl

We study (3+1)+D dimensional spacetime, where D extra dimensions are timelike. Compactification of the D timelike dimensions leads to tachyonic Kaluza-Klein gravitons. We calculate the gravitational self-energies of massive spherical bodies…

High Energy Physics - Theory · Physics 2009-10-31 Satoshi Matsuda , Shigenori Seki

In this paper, we investigate a new model of $(2+1)-$dimensional ($3D$) gravitational vacuum stars (gravastars) with an isotropic matter distribution anti-de Sitter (AdS) spacetime in the context of massive gravity. For this purpose, we…

General Relativity and Quantum Cosmology · Physics 2023-10-30 H. Barzegar , B. Eslam Panah , G. H. Bordbar , M. Bigdeli

In previous work, black hole vortex solutions in Einstein gravity with AdS$_3$ background were found where the scalar matter profile had a singularity at the origin $r=0$. In this paper, we find numerically static vortex solutions where the…

High Energy Physics - Theory · Physics 2021-02-11 Ariel Edery

We show that D-dimensional de Sitter space is unstable to the nucleation of non-singular geometries containing spacetime regions with different numbers of macroscopic dimensions, leading to a dynamical mechanism of compactification. These…

High Energy Physics - Theory · Physics 2011-04-14 Sean M. Carroll , Matthew C. Johnson , Lisa Randall

We consider gravity theories in $4+N$ dimensions which are governed by the Lagrangian written as an extended Gauss-Bonnet density. We can find a naturally generalized Einstein gravity where the maximal symmetric compactification leads to…

General Relativity and Quantum Cosmology · Physics 2012-05-03 Kiyoshi Shiraishi

We explore in detail the prospects of obtaining a four-dimensional de Sitter universe in classical supergravity models with warped and time-independent extra dimensions, presenting explicit cosmological solutions of the $(4+n)$-dimensional…

High Energy Physics - Theory · Physics 2011-03-28 Ishwaree P. Neupane

Viable corrections to the matter sector of Poisson's equation may result in qualitatively different astrophysical phenomenology, for example the gravitational collapse and the properties of compact objects can change drastically. We discuss…

General Relativity and Quantum Cosmology · Physics 2013-05-30 Paolo Pani , Terence Delsate , Vitor Cardoso

The manuscript studies a 3+N+1-dimensional space in which the N extra dimensions are dynamically compact. The 3 large dimensions, behaving as the spacial part of the FRW metric, possess a different scale factor in comparison with the N…

General Relativity and Quantum Cosmology · Physics 2017-07-18 Taymaz Ghaneh

We discuss the question of how the number of dimensions of space and time can influence the equilibrium configurations of stars. We find that dimensionality does increase the effect of mass but not the contribution of the pressure, which is…

General Relativity and Quantum Cosmology · Physics 2015-06-25 J. Ponce de Leon , Norman Cruz

Mass-varying massive gravity allows the graviton mass to vary according to different environments. We investigate neutron star and white dwarf solutions in this theory and find that the graviton mass can become very large near the compact…

General Relativity and Quantum Cosmology · Physics 2020-03-31 Xue Sun , Shuang-Yong Zhou

We consider the compactification of (d+n)-dimensional pure gravity and of superstring/M-theory on an n-dimensional internal space to a d-dimensional FLRW cosmology, with spatial curvature k=-1,0,+1, in Einstein conformal frame. The internal…

High Energy Physics - Theory · Physics 2009-11-10 Mattias N. R. Wohlfarth

In the framework of the theory of scale relativity, we suggest a solution to the cosmological problem of the formation and evolution of gravitational structures on many scales. This approach is based on the giving up of the hypothesis of…

Astrophysics · Physics 2015-06-24 Daniel da Rocha , Laurent Nottale

In Palatini $f(R)$ gravity, the parameters of the Schwarzschild - de Sitter solution as well as the whole interior solutions of compact objects are expected to change when compared to general relativity. We solve the Palatini field…

General Relativity and Quantum Cosmology · Physics 2009-12-07 Vappu Reijonen
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