New shear-free relativistic models with heat flow
arXiv:1212.6655 · doi:10.1007/s10714-011-1150-5
Abstract
We study shear-free spherically symmetric relativistic models with heat flow. Our analysis is based on Lie's theory of extended groups applied to the governing field equations. In particular, we generate a five-parameter family of transformations which enables us to map existing solutions to new solutions. All known solutions of Einstein equations with heat flow can therefore produce infinite families of new solutions. In addition, we provide two new classes of solutions utilising the Lie infinitesimal generators. These solutions generate an infinite class of solutions given any one of the two unknown metric functions.
10 pages, To appear in Gen. Relativ. Gravit
References in corpus (7)
- Some analytical models of radiating collapsing spheres
- Nonlinear Shear-free Radiative Collapse
- A Riccati equation in radiative stellar collapse
- Radiating relativistic matter in geodesic motion
- Cosmological solutions of the Einstein equation with heat flow
- Gravitational collapse of a spherical star with heat flow as a possible energy mechanism of gamma-ray bursts
- Radiation Driven Inflation
Cited by in corpus (9)
- Collapsing shear-free perfect fluid spheres with heat flow
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- Higher dimensional charged shear-free relativistic models with heat flux
- New charged shear-free relativistic models with heat flux
- A simple characterization of doubly twisted spacetimes
- What makes a shear-free spherical perfect fluid be inhomogeneous with tidal effects?
- On Shearing Fluids with Homogeneous Densities