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pro vyhledávání: '"Govinder, K. S."'
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Publikováno v:
Eur. Phys. J. C, 75 496 (2015)
A systematic analysis of the junction condition, relating the radial pressure with the heat flow in a shear-free relativistic radiating star, is undertaken. This is a highly nonlinear partial differential equation in general. We obtain the Lie point
Externí odkaz:
http://arxiv.org/abs/1508.00764
Publikováno v:
Advances in Mathematical Physics 2014, 290459 (2014)
We extend an algorithm of Deng in spherically symmetric spacetimes to higher dimensions. We show that it is possible to integrate the generalised condition of pressure isotropy and generate exact solutions to the Einstein field equations for a shear-
Externí odkaz:
http://arxiv.org/abs/1412.8108
Publikováno v:
Gen. Relativ. Gravit. 46, 1733 (2014)
We consider the general case of an accelerating, expanding and shearing model of a radiating relativistic star using Lie symmetries. We obtain the Lie symmetry generators that leave the equation for the junction condition invariant, and find the Lie
Externí odkaz:
http://arxiv.org/abs/1412.8117
Publikováno v:
Gen. Relativ. Gravit. 46, 1650 (2014)
We study the junction condition relating the pressure to the heat flux at the boundary of a shearing and expanding spherically symmetric radiating star when the fluid particles are travelling in geodesic motion. The Lie symmetry generators that leave
Externí odkaz:
http://arxiv.org/abs/1412.8111
Publikováno v:
Eur. Phys. J. C 73, 2637 (2013)
We study shear-free spherically symmetric relativistic gravitating fluids with heat flow and electric charge. The solution to the Einstein-Maxwell system is governed by the generalised pressure isotropy condition which contains a contribution from th
Externí odkaz:
http://arxiv.org/abs/1412.6728
Publikováno v:
Int. J. Theor. Phys. 52: 3244-3254 (2013)
We consider a relativistic radiating spherical star in conformally flat spacetimes. In particular we study the junction condition relating the radial pressure to the heat flux at the boundary of the star which is a nonlinear partial differential equa
Externí odkaz:
http://arxiv.org/abs/1412.6729
Publikováno v:
Eur. Phys. J. C 74, 2952 (2014)
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 conditi
Externí odkaz:
http://arxiv.org/abs/1405.2402
Publikováno v:
Int. J. Theor. Phys. 51: 1290-1299, 2012
We consider a radiating shear-free spherically symmetric metric in higher dimensions. Several new solutions to the Einstein's equations are found systematically using the method of Lie analysis of differential equations. Using the five Lie point symm
Externí odkaz:
http://arxiv.org/abs/1301.1479
Publikováno v:
Nonlinear Analysis RWA 13: 1721-1729, 2012
We study the evolution of shear-free spherically symmetric charged fluids in general relativity. We find a new parametric class of solutions to the Einstein-Maxwell system of field equations. Our charged results are a generalisation of earlier treatm
Externí odkaz:
http://arxiv.org/abs/1301.1412