Conformal Symmetries of Spherical Spacetimes

Moopanar, S.; Maharaj, S. D.

doi:10.1007/s10773-010-0366-6

Cited by 50 publications

(31 citation statements)

References 19 publications

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“…To explore new solutions of Einstein's field equations we are searching for symmetry using CKV. Such method was adopted by Moopanar and Maharaj [36] to find conformal Killing symmetries in spherical space-times.…”

Section: Conformally Symmetric Charged Anisotropic Solutionmentioning

confidence: 99%

Effect of electric charge on anisotropic compact stars in conformally symmetric spacetime

et al. 2018

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We obtain a new class of interior solutions for charged anisotropic stars which admits non-static conformal motion. The Einstein-Maxwell field equations are solved by taking a physically reasonable choice for the g rr metric co-efficient and a suitable expression for charge density. From the analysis we have shown that there is a central singularity on space-time by calculating Kretschmann scalar though the central density and central pressure are finite. The emphasis are given on the causality condition and the stability analysis of the model. The masses and radii of the compact stars PSR J16142230, PSR J1903+327 and LMC X-4 obtained from the model are well match with the observed values provided by Gangopadhyay et al (2013 Mon. Not. R. Astron. Soc. 431 3216)

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Section: Conformally Symmetric Charged Anisotropic Solutionmentioning

confidence: 99%

Effect of electric charge on anisotropic compact stars in conformally symmetric spacetime

et al. 2018

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“…Here L X is the Lie derivative operator and ψ(x a ) is the conformal factor. Static spherically symmetric spacetimes with conformal motions have been comprehensively studied by Manjonjo et al [9] by extending earlier treatments of Maartens et al [6,7] and Moopanar and Maharaj [18,19]. They assumed the presence of a spherically symmetric conformal Killing vector…”

Section: The Modelmentioning

confidence: 99%

Spherical conformal models for compact stars

et al. 2017

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We consider spherical exact models for compact stars with anisotropic pressures and a conformal symmetry. The conformal symmetry condition generates an integral relationship between the gravitational potentials. We solve this condition to find a new anisotropic solution to the Einstein field equations. We demonstrate that the exact solution produces a relativistic model of a compact star. The model generates stellar radii and masses consistent with PSR J1614-2230, Vela X1, PSR J1903+327 and Cen X-3. A detailed physical examination shows that the model is regular, well behaved and stable. The mass-radius limit and the surface red shift are consistent with observational constraints.

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“…Due to the high level of symmetry in spacetimes with spherical symmetry, the corresponding conformal Killing vectors can be identified by integrating the conformal Killing equations. The case of shear-free spacetimes was analysed by Moopanar and Maharaj [5], and the general case of expanding, accelerating and shearing spacetimes was considered in the treatment Moopanar and Maharaj [6]. All the static and nonstatic conformal Killing vectors in the static spherical symmetrical spacetimes were found by Maharaj et al [7] and Maartens et al [8,9].…”

Section: Introductionmentioning

confidence: 99%

Static conformal models for anisotropic charged fluids

2019

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We investigate the role played by conformal symmetries in the study of exact solutions in static spherically symmetric spacetimes. We consider the gravitational field associated with anisotropic charged fluids. The existence of a conformal symmetry provides us with a functional relation between the metric functions. This relationship yields a general solution to the Einstein-Maxwell equations. Various conformally symmetric models for fluids that are charged or anisotropic or both are shown to be special cases of the general exact solution generated in this paper. In particular we generate a conformally flat Finch-Skea type model for an isotropic charged fluid.

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Conformal Symmetries of Spherical Spacetimes

Cited by 50 publications

References 19 publications

Effect of electric charge on anisotropic compact stars in conformally symmetric spacetime

Effect of electric charge on anisotropic compact stars in conformally symmetric spacetime

Spherical conformal models for compact stars

Static conformal models for anisotropic charged fluids

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