Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Higher dimensional charged shear-free relativistic models with heat flux   We analyse shear-free spherically symmetric relativistic models of
gravitating fluids with heat flow and electric charge defined on higher
dimensional manifolds. The solution to the Einstein-Maxwell system is governed
by the pressure isotropy condition which depends on the spacetime dimension. We
study this highly nonlinear partial differential equation using Lie's group
theoretic approach. The Lie symmetry generators that leave the equation
invariant are determined. We provide exact solutions to the gravitational
potentials using the first symmetry admitted by the equation. Our new exact
solutions contain the earlier results for the four-dimensional case. Using the
other Lie generators, we are able to provide solutions to the gravitational
potentials or reduce the order of the master equation to a first order
nonlinear differential equation. We derive the temperature transport equation
in higher dimensions and find expressions for the causal and Eckart
temperatures showing their explicit dependance on the dimension. We analyse a
particular solution, obtained via group techniques, to show its physical
applicability.

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The categories of this paper are: patt-sol
1
The categories of this paper are: cs
3
The categories of this paper are: physics
7
The categories of this paper are: hep-th
23
The categories of this paper are: solv-int
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The categories of this paper are: eess
28
The categories of this paper are: alg-geom
4
The categories of this paper are: cond-mat
37
The categories of this paper are: supr-con
31
The categories of this paper are: ao-sci
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The categories of this paper are: nucl-ex
6
The categories of this paper are: astro-ph
36
The categories of this paper are: cmp-lg
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The categories of this paper are: math-ph
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The categories of this paper are: hep-ph
30
The categories of this paper are: q-alg