Gravitational collapse of an anisotropic fluid and interacting vacuum energy density: The curvature effect


Shah H.H. Chu Y.M. Abbas S.Z. Issakhov A. Khan S.
February 2021World Scientific

International Journal of Modern Physics D
2021#30Issue 3

In this paper, we study the gravitational collapse of a spherical symmetric star constituted of matter interacting with vacuum energy density in the background of spacetime curvature. We consider the gravitational collapse for closed, flat, and hyperbolic spacetime geometry (k = 1, 0,-1). We take the process of gravitational collapse for an anisotropic fluid interacting with a growing vacuum energy density by taking a complete physically general-relativistic approach in the background of spacetime curvature. Here, we achieved analytic solutions with some assumptions of physical significance. We executed and interpreted the solutions for several cases of the equation of state parameters, (l,ω). In all physical cases, we investigate the formation of a black hole and the naked singularity.

Gravitational collapse

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School of Mathematics and Statistics, Beijing Institute of Technology, Beijing, 100081, China
Department of Mathematical Sciences, Baluchistan University of Information Technology, Engineering and Management Sciences, Quetta, 87300, Pakistan
Department of Mathematics, Huzhou University, Huzhou, 313000, China
Hunan Provincial Key Laboratory of Mathematical Modeling and Analysis in Engineering, Changsha University of Science and Technology, Changsha, 410114, China
Department of Mathematics and Statistics, Hazara University Mansehra, Pakistan
Department of Mathematical and Computer Modelling, Al-Farabi Kazakh National University, Almaty, Kazakhstan
Kazakh-British Technical University, Almaty, Kazakhstan
School of Mathematics and Statistics, Central South University, Changsha, Hunan, 410083, China

School of Mathematics and Statistics
Department of Mathematical Sciences
Department of Mathematics
Hunan Provincial Key Laboratory of Mathematical Modeling and Analysis in Engineering
Department of Mathematics and Statistics
Department of Mathematical and Computer Modelling
Kazakh-British Technical University
School of Mathematics and Statistics

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