Invariant solutions for the Einstein field equation
Copyright policy )Invariant solutions for the Einstein field equation
In this paper, we provide a method capable of producing an infinite number of solutions for Einstein’s equation on static spacetimes with perfect fluid as a matter field. All spacetimes of this type which are symmetric with respect to a given group of translations and whose spatial factor is conformally flat are characterized. We use this method to give some exact solutions of the referred equation.
- UNIVERSIDADE DE SAO PAULO Brazil
- Universidade Federal de Goiás Brazil
- Instituto Federal do Amapá Brazil
- Universidade Federal de Jataí Brazil
Quantum hydrodynamics and relativistic hydrodynamics, Mathematics - Differential Geometry, Differential Geometry (math.DG), Classes of solutions; algebraically special solutions, metrics with symmetries for problems in general relativity and gravitational theory, FOS: Mathematics, Einstein's equations (general structure, canonical formalism, Cauchy problems), Exact solutions to problems in general relativity and gravitational theory, Macroscopic interaction of the gravitational field with matter (hydrodynamics, etc.)
Quantum hydrodynamics and relativistic hydrodynamics, Mathematics - Differential Geometry, Differential Geometry (math.DG), Classes of solutions; algebraically special solutions, metrics with symmetries for problems in general relativity and gravitational theory, FOS: Mathematics, Einstein's equations (general structure, canonical formalism, Cauchy problems), Exact solutions to problems in general relativity and gravitational theory, Macroscopic interaction of the gravitational field with matter (hydrodynamics, etc.)
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