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We consider a spherical gravitational collapse of inhomogeneous dust (and null dust) in Einstein gravity with the Gauss-Bonnet (GB) combination of quadratic curvature terms. It turns out that the presence of the coupling constant of the GB…

General Relativity and Quantum Cosmology · Physics 2014-03-11 Sushant G. Ghosh , Sanjay Jhingan , D. W. Deshkar

We give a model of the higher-dimensional spherically symmetric gravitational collapse of a dust cloud in Einstein-Gauss-Bonnet gravity. A simple formulation of the basic equations is given for the spacetime $M \approx M^2 \times K^{n-2}$…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Hideki Maeda

We investigate the spherically symmetric gravitational collapse of an incoherent dust cloud by considering a LTB type space-time in third order Lovelock Gravity without cosmological constant, and give three families of LTB-like solutions…

General Relativity and Quantum Cosmology · Physics 2015-05-28 Kang Zhou , Zhan-Ying Yang , De-Cheng Zou , Rui-Hong Yue

We consider a Lemaitre - Tolman - Bondi type space-time in Einstein gravity with the Gauss-Bonnet combination of quadratic curvature terms, and present exact solution in closed form. It turns out that the presence of the coupling constant…

General Relativity and Quantum Cosmology · Physics 2015-05-18 S. Jhingan , Sushant G. Ghosh

We consider gravitational collapse in the recently proposed 4D limit of Einstein-Gauss-Bonnet gravity. We show that for collapse of a sphere made of homogeneous dust the process is qualitatively similar to the case of pure Einstein's…

General Relativity and Quantum Cosmology · Physics 2020-06-04 Daniele Malafarina , Bobir Toshmatov , Naresh Dadhich

We obtain a general five dimensional (5D) quasispherical solutions of irrotational dust in Einstein gravity with the Gauss-Bonnet combination of quadratic curvature terms. These solutions are generalization, to Einstein-Gauss-Bonnet…

General Relativity and Quantum Cosmology · Physics 2014-11-20 Sushant G. Ghosh , Sanjay Jhingan

In this paper, we study spherical gravitational collapse of inhomogeneous pressureless matter in a well-defined $n \rightarrow4$d limit of the Einstein-Gauss-Bonnet gravity. The collapse leads to either a black hole or a massive naked…

General Relativity and Quantum Cosmology · Physics 2022-11-07 Suresh C. Jaryal , Ayan Chatterjee

We study the process of gravitational collapse in pure Gauss-Bonnet gravity. In the homogeneous dust collapse, we show that the $D=7$ pure Gauss-Bonnet theory has gravitational dynamics indistinguishable from Einstein's theory in $D=4$,…

General Relativity and Quantum Cosmology · Physics 2023-06-21 Konstantinos F. Dialektopoulos , Daniele Malafarina , Naresh Dadhich

We provide a covariant framework to study singularity-free Lema\^itre-Tolman-Bondi spacetimes with effective corrections motivated by loop quantum gravity. We show that, as in general relativity, physically reasonable energy distributions…

General Relativity and Quantum Cosmology · Physics 2024-03-07 Asier Alonso-Bardaji , David Brizuela

We investigate gravitational collapse of a spherically symmetric thin shell in the Einstein-Gauss-Bonnet (EGB) gravity. Under the recently proposed 4D limit, we find that the collapsing shell will be bounced back at a small radius, without…

General Relativity and Quantum Cosmology · Physics 2022-03-09 Yong-Ming Huang , Yu Tian , Xiao-Ning Wu

We study gravitational collapse of a spherically symmetric inhomogeneous dust cloud in the Lovelock theory without cosmological constant. We show that the final fate of gravitational collapse in this theory depends on the spacetime…

General Relativity and Quantum Cosmology · Physics 2011-08-08 Seiju Ohashi , Tetsuya Shiromizu , Sanjay Jhingan

The motion of a spherical dust cloud is described by the Lemaitre-Tolman-Bondi solution and is completely specified by initial values of distributions of the rest mass density and specific energy of the dust fluid. From generic initial…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Hideo Iguchi , Ken-ichi Nakao , Tomohiro Harada

We analyze the null geodesic equations in five dimensional spherically symmetric spacetime with collapsing inhomogeneous dust cloud. By using a new method, we prove the existence and non-existence of solutions to null geodesic equation…

General Relativity and Quantum Cosmology · Physics 2016-07-12 Ryosuke Mizuno , Seiju Ohashi , Tetsuya Shiromizu

In this article, we present a gravitational collapse null dust solution of the Einstein field equations. The spacetime is regular everywhere except on the symmetry axis where it possesses a naked curvature singularity, and admits one…

General Relativity and Quantum Cosmology · Physics 2017-06-14 Faizuddin Ahmed

We obtain a general spherically symmetric solution of a null dust fluid in $n (\geq 4)$-dimensions in Gauss-Bonnet gravity. This solution is a generalization of the $n$-dimensional Vaidya-(anti)de Sitter solution in general relativity. For…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Hideki Maeda

We investigate here the local versus global visibility of a space-time singularity formed due to the gravitational collapse of a spherically symmetric dust cloud having a non-zero velocity function. The conditions are investigated that…

General Relativity and Quantum Cosmology · Physics 2020-08-26 Karim Mosani , Dipanjan Dey , Pankaj S. Joshi

We investigate the occurrence and nature of naked singularity for the inhomogeneous gravitational collapse of Tolman-Bondi dust clouds.It is shown that the naked singularities form at the center of the collapsing cloud in a wide class of…

General Relativity and Quantum Cosmology · Physics 2009-10-22 P. S. Joshi , I. H. Dwivedi

Spherically symmetric inhomogeneous dust collapse has been studied in higher dimensional space-time and appearance of naked singularity has been analyzed both for non-marginal and marginally bound cases. It has been shown that naked…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Ujjal Debnath , Subenoy Chakraborty

We will describe here the structure of singularity forming in gravitational collapse of spherically symmetric inhomogeneous dust. Such a collapse is described by the Tolman-Bondi-Lema{\^i}tre metric. The main new result here relates, in a…

General Relativity and Quantum Cosmology · Physics 2007-05-23 S. Jhingan

The gravitational collapse of a thick cylindrical shell of dust matter is investigated. It is found that a spacetime singularity forms on the symmetry axis and that it is necessarily naked, i.e., observable in principle. We propose a…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Ken-ichi Nakao , Yasunari Kurita , Yoshiyuki Morisawa , Tomohiro Harada
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