Rotational velocity of a relativistic heat conducting fluid configuration in non-circular axisymmetric stationary spacetime

Abstract

The present work is focused to study the rotational velocity of a heat conducting fluid configuration based on Carter’s model and related consequences under the assumption that the background space time is non-circular stationary and axi symmetric. The level surfaces of constant angular velocity about rotation axis do not coincide with level surfaces of constant effective angular momentum per baryon corresponding to the matter part of fluid because of the variation of Killing twist scalars coupled with thermodynamic quantities in meridional planes. The rotation of matter part of fluid bears an intrinsic relationship with heat flow, injection energy per baryon, chemical potential of matter part of fluid, and rotational potential created by dynamic space time as an outcome of interaction between the motion of the entropy fluid and of the matter part of fluid. The meridional circulation velocity plays a key role in the creation of the entropy production besides the contributions made by other thermodynamic quantities. The entropy fluid is not co rotating with the matter part of fluid in the presence of dissipation caused by the heat flow. It is found that a linear combination of the injection energy gradient and the gradient of rotational velocity about rotation axis is constant along the matter part of fluid flow lines.