Generalized anisotropic models for conformal symmetry

We find a new family of exact solutions to the Einstein system of equations with an anisotropic fluid distribution for a spherically symmetric spacetime containing a conformal Killing vector. Simple analytic expressions describe the matter variables and the metric functions which are regular at the...

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Bibliographic Details
Published in:The European physical journal. C, Particles and fields Particles and fields, 2019-02, Vol.79 (2), p.1-15, Article 170
Main Authors: Maurya, S. K., Maharaj, S. D., Deb, Debabrata
Format: Article
Language:English
Subjects:
Anisotropic fluids
Anisotropy
Astronomy
Astrophysics and Cosmology
Economic models
Elementary Particles
Equality
Exact solutions
Hadrons
Heavy Ions
Mathematical models
Measurement Science and Instrumentation
Nuclear Energy
Nuclear Physics
Physics
Physics and Astronomy
Quantum Field Theories
Quantum Field Theory
Regular Article - Theoretical Physics
Stability criteria
String Theory
Symmetry
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Summary:We find a new family of exact solutions to the Einstein system of equations with an anisotropic fluid distribution for a spherically symmetric spacetime containing a conformal Killing vector. Simple analytic expressions describe the matter variables and the metric functions which are regular at the centre and the interior of the body. We demonstrate that the new class of exact solutions is physically reasonable and may be utilized to model a compact object. A detailed graphical analysis of the matter variables shows that the criteria for physical acceptability are satisfied. The energy conditions are satisfied, causality is not violated, and the body is stable in terms of cracking, the Harrison–Zeldovich–Novikov stability criterion, and the adiabatic index inequality. It is, therefore, possible to geometrically describe a compact object with a conformal symmetry for an astrophysical application.
ISSN:1434-6044
1434-6052
DOI:10.1140/epjc/s10052-019-6677-8