activity
20022011
most citedOn Linearizing Systems of Diffusion Equations

13 citations · 25 across the 7 of their papers we have counts for

collaborators

7 papers

gr-qc2011★ 1 cited

A rotating three component perfect fluid source and its junction with empty space-time

R. J. Wiltshire

The Kerr solution for empty space-time is presented in an ellipsoidally symmetric coordinate system and it is used to produce generalised ellipsoidal metrics appropriate for the ge…

gr-qc2009

Relativistic fluid spheres with particular application in cosmology and gravitational collapse

Ron Wiltshire

A spherically symmetric comoving fluid solution of Einstein's equations is adapted for cosmological application by extending the geometry of standard FRW cosmology using a generali…

nlin.SI2006★ 13 cited

On Linearizing Systems of Diffusion Equations

Christodoulos Sophocleous, Ron J. Wiltshire

We consider systems of diffusion equations that have considerable interest in Soil Science and Mathematical Biology and focus upon the problem of finding those forms of this class…

gr-qc2006★ 1 cited

Isotropy, shear, symmetry and exact solutions for relativistic fluid spheres

Ron Wiltshire

The symmetry method is used to derive solutions of Einstein's equations for fluid spheres using an isotropic metric and a velocity four vector that is non-comoving. Initially the L…

gr-qc2003★ 4 cited

Slowly rotating, compact fluid sources embedded in Kerr empty space-time

Ron Wiltshire

Spherically symmetric static fluid sources are endowed with rotation and embedded in Kerr empty space-time up to an including quadratic terms in an angular velocity parameter using…

gr-qc2003

Robertson-Walker fluid sources endowed with rotation characterised by quadratic terms in angular velocity parameter

R J Wiltshire

Einstein's equations for a Robertson-Walker fluid source endowed with rotation Einstein's equations for a Robertson-Walker fluid source endowed with rotation are presented upto and…