Geometrization of string cloud spacetime in general relativity-Reference-Cited by-同舟云学术

Geometrization of string cloud spacetime in general relativity

Published:2023 Issue:12 Volume:8 Page:29042-29057
ISSN:2473-6988
Container-title:AIMS Mathematics
language:
Short-container-title:MATH

Author:

Siddiqi Mohd Danish¹,Khan Meraj Ali²,Al-Dayel Ibrahim²,Masood Khalid²

Affiliation:

1. Department of Mathematics College of Science, Jazan University, P. O. Box 277, Jazan 45142, Saudi Arabia

2. Department of Mathematics and Statistics College of Science Imam Mohammad Ibn Saud Islamic University, P. O. Box-65892, Riyadh 11566, Saudi Arabia

Abstract

<abstract><p>The purpose of the article is to analyze the behavior of spacetime using a string cloud energy-momentum tensor $ \mathcal{T} $ having string cloud fluid density $ \rho $ and string tension $ \lambda $, named <italic>relativistic string cloud spacetime</italic>. We obtain some results for string cloud spacetime with a divergence-free matter tensor and a diminishing space matter tensor. Next, we discuss some curvature characteristics, such as conformally flat, Ricci semi-symmetric and pseudo-Ricci-symmetric, for relativistic string cloud spacetime. In addition, we gain a condition that coincides with the equation of state for the cloud of geometric strings in Ricci semi-symmetric string cloud spacetime.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

General Mathematics

Reference53 articles.

1. B. O'Nill, Semi-Riemannian geometry with application to relativity, New York: Academic Press, 1983.

2. S. H. Tye, Brane inflation: string theory viewed from the cosmos, In: String theory and fundamental interactions, Berlin, Heidelberg: Springer, 2008,949–974. https://doi.org/10.1007/978-3-540-74233-3_28

3. P. S. Letelier, Clouds of strings on general relativity, Phys. Rev. D, 20 (1979), 1294–1302. https://doi.org/10.1103/PhysRevD.20.1294

4. E. Herscovich, M. G. Richarte, Black holes in Einstein-Gauss-Bonnet gravity with a string cloud background, Phys. Lett. B, 689 (2010), 192–200. https://doi.org/10.1016/j.physletb.2010.04.065

5. S. G. Ghosh, U. Papnoi, S. D. Maharaj, Cloud of strings in third order Lovelock gravity, Phys. Rev. D, 90 (2014), 044068. https://doi.org/10.1103/PhysRevD.90.044068

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