Anisotropic generalization of well-known solutions describing relativistic self-gravitating fluid systems: an algorithm

We present an algorithm to generalize a plethora of well-known solutions to Einstein field equations describing spherically symmetric relativistic fluid spheres by relaxing the pressure isotropy condition on the system. By suitably fixing the model parameters in our formulation, we generate closed-f...

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Bibliographic Details
Published inThe European physical journal. C, Particles and fields Vol. 78; no. 1; pp. 1 - 9
Main Authors Thirukkanesh, S., Ragel, F. C., Sharma, Ranjan, Das, Shyam
Format Journal Article
LanguageEnglish
Published Berlin/Heidelberg Springer Berlin Heidelberg 2018
Springer
Springer Nature B.V
SpringerOpen
Subjects
Algorithms
Anisotropy
Astronomy
Astrophysics and Cosmology
Einstein equations
Elementary Particles
Gravitation
Hadrons
Heavy Ions
Isotropy
Measurement Science and Instrumentation
Nuclear Energy
Nuclear Physics
Physics
Physics and Astronomy
Pulsars
Quantum Field Theories
Quantum Field Theory
Regular Article - Theoretical Physics
Relativism
Relativistic effects
String Theory
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Summary:We present an algorithm to generalize a plethora of well-known solutions to Einstein field equations describing spherically symmetric relativistic fluid spheres by relaxing the pressure isotropy condition on the system. By suitably fixing the model parameters in our formulation, we generate closed-form solutions which may be treated as an anisotropic generalization of a large class of solutions describing isotropic fluid spheres. From the resultant solutions, a particular solution is taken up to show its physical acceptability. Making use of the current estimate of mass and radius of a known pulsar, the effects of anisotropic stress on the gross physical behaviour of a relativistic compact star is also highlighted.
ISSN:1434-6044
1434-6052
DOI:10.1140/epjc/s10052-018-5526-5