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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