Conference Proceeding

Mathematics in Space and Applied Sciences (ICMSAS-2023)
ICMSAS-2023

Subject Area: Mathematics
Pages: 331
Published On: 03-Mar-2023
Online Since: 04-Mar-2023

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Author(s): Ayan Chatterjee, Suresh C. Jaryal, Akshay Kumar

Email(s): akshay.relativity@gmail.com

Address: Ayan Chatterjee*1, Suresh C. Jaryal1,2, Akshay Kumar1
1Department of Physics and Astronomical Science, Central University of Himachal Pradesh, Dharamshala- 176215, India.
2Department of Physics and Astronomical Sciences, Central University of Jammu, Samba, J&K-181143, India.
*Corresponding Author

Published In:   Conference Proceeding, Mathematics in Space and Applied Sciences (ICMSAS-2023)

Year of Publication:  March, 2023

Online since:  March 04, 2023

DOI:




RESEARCH ARTICLE

 

Gravitational Collapse in Higher Dimension

 

Ayan Chatterjee*1, Suresh C. Jaryal†1,2, Akshay Kumar‡§1

1Department of Physics and Astronomical Science, Central University of Himachal Pradesh, Dharamshala- 176215, India.

2Department of Physics and Astronomical Sciences, Central University of Jammu, Samba, J&K-181143, India.

*Corresponding Author E-mail: akshay.relativity@gmail.com

 

ABSTRACT:

The methods of gravitational collapse is useful to understand formation of black holes. Marginally trapped surfaces (MTS) are local descriptions of such geometries. We study the marginally trapped surfaces for n-dimensional space time during the gravitational collapse of spherical symmetric dust cloud. We take different density profiles to examine the effect of higher dimension on the formation of marginally trapped surfaces and collapsing shell.

 

KEYWORDS: Gravitational Collapse, Higher Dimension

 

INTRODUCTION:

In General Relativity, black holes are formed from gravitational collapse of massive body [1, 2, 3, 4]. This formalism has been studied in detail [5,6,7,8] and the one finds that, cosmic censorship, which states that gravitational collapse of matter cloud leads to the central singularity[1, 2] which remain hidden to the far observer by a horizon, is generally true. Instead of black holes one deals with event horizon (EH), which is the most general description for a horizon, However it is a global definition and always need knowledge of the full space time. Marginally trapped surfaces (MTS) is quite useful for studying the horizon, since it is a local definition [4, 9, 10, 11, 12].

 

Some models in higher dimensional space time are studied in [14], investigation of occurrence and nature of a naked singularity in higher dimension is studied in [15], one more study [13] reveal the factors responsible for the appearance of a naked singularity in higher dimensional spherical collapse, in [6] the gravitational collapse of spherical symmetric space time with a general type I matter field has been studied. In our work we have use a completely different formalism for investigation of the gravitational collapse of the spherical symmetric dust. Here, we use a local definition MTSs to study horizons [7], and extend to higher dimensions.

 




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Author/Editor Information

Dr. Sanjay Kango

Department of Mathematics, Neta Ji Subhash Chander Bose Memorial, Government Post Graduate College, Hamirpur Himachal Pradesh-177 005, INDIA