Petrov types 0 and II perfect - fluid solutions in generalized Kerr - Schild form
نویسنده
چکیده
Petrov types D and II perfect-fluid solutions are obtained starting from conformally flat perfect-fluid metrics and by using a generalized Kerr-Schild ansatz. Most of the Petrov type D metrics obtained have the property that the velocity of the fluid does not lie in the two-space defined by the principal null directions of the Weyl tensor. The properties of the perfect-fluid sources are studied. Finally, a detailed analysis of a new class of spherically symmetric static perfect-fluid metrics is given.
منابع مشابه
Petrov type D perfect - fluid solutions in generalized Kerr - Schild form
This work is concerned with perfect-fluid solutions of Einstein's equations for a metric in generalized Kerr-Schild form. Since the original Kerr-Schild paper, ] a lot of generalizations of the Kerr-Schild ansatz have appeared. Bilge and Giirses have shown how the Newman-Penrose spin coefficients, trace-free Ricci, Ricci scalar, and Weyl spinors transform under the most general Kerr-Schild tran...
متن کاملStationary generalized Kerr–Schild spacetimes
In this paper we have applied the generalized Kerr–Schild transformation finding a new family of stationary perfect–fluid solutions of the Einstein field equations. The procedure used combines some well–known techniques of null and timelike vector fields, from which some properties of the solutions are studied in a coordinate–free way. These spacetimes are algebraically special being their Petr...
متن کاملA Conformal Mapping and Isothermal Perfect Fluid Model
Instead of conformal to flat spacetime, we take the metric conformal to a spacetime which can be thought of as “minimally” curved in the sense that free particles experience no gravitational force yet it has non-zero curvature. The base spacetime can be written in the Kerr-Schild form in spherical polar coordinates. The conformal metric then admits the unique three parameter family of perfect f...
متن کاملA physical application of Kerr-Schild groups
The present work deals with the search of useful physical applications of some generalized groups of metric transformations. We put forward different proposals and focus our attention on the implementation of one of them. Particularly, the results show how one can control very efficiently the kind of spacetimes related by a Generalized Kerr-Schild (GKS) Ansatz through Kerr-Schild groups. Finall...
متن کاملIsothermal spherical perfect fluid model: Uniqueness and Conformal mapping
We prove the theorem: The necessary and sufficient condition for a spherically symmetric spacetime to represent an isothermal perfect fluid (barotropic equation of state with density falling off as inverse square of the curvature radius) distribution without boundary is that it is conformal to the “minimally” curved (gravitation only manifesting in tidal acceleration and being absent in particl...
متن کامل