Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Classical Solutions in Einstein's Gravity and Study of some Collapsing
  Models   My research work can be classified into two parts namely, (i) Cosmological
phenomena with varying speed of light and (ii) Gravitational collapse and black
holes.
  We have investigated several cosmological phenomena when velocity of light
varies with time. We have considered the variation of light as power-law in
time and have studied the Brans-Dicke cosmology, Quintessence problem and
others. We have also examined whether some cosmological problems can be solved
using it for anisotropic space-time model.
  In brane scenario we have studied some cosmological implications namely, the
Cosmic No-Hair Conjecture (CNHC) and variable gravity theory. In CNHC we have
shown that in realistic situation no more extra conditions are needed in brane
scenario.
  In gravitational collapse, we have mainly concentrated to spherical collapse
for dust distribution. We have considered both four and higher dimensional
space-time and have examined the possibility for formation of black hole or
naked singularity. In marginally bound case we have found naked singularity is
possible only for four and five dimension, while for non-marginally bound case
the possibility of black hole increases with the increase in the dimension of
the space-time.
  In quasi-spherical gravitational collapse for dust distribution, we have
(n+2) dimensional Szekeres space-time and have examined the possibility for
formation of black hole or naked singularity. In marginally bound case, we have
found that possibility of naked singularity depends on dimension of the
space-time.

9
The categories of this paper are: nlin
25
The categories of this paper are: patt-sol
36
The categories of this paper are: cmp-lg
34
The categories of this paper are: chem-ph
19
The categories of this paper are: eess
24
The categories of this paper are: dg-ga
23
The categories of this paper are: solv-int
13
The categories of this paper are: quant-ph
12
The categories of this paper are: nucl-th
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The categories of this paper are: hep-ex
30
The categories of this paper are: q-alg
2
The categories of this paper are: math
15
The categories of this paper are: nucl-ex
7
The categories of this paper are: hep-th
21
The categories of this paper are: adap-org
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The categories of this paper are: acc-phys