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Geodesic Congruences and Their Deformations in Bertrand Space-times

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arxiv 1206.4249 v2 pith:VXEHWFIP submitted 2012-06-19 gr-qc hep-th

Prashant Kumar , Kaushik Bhattacharya , Tapobrata Sarkar This is my paper · ORCID
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keywords space-timesbertrandconditionsdeformationsenergygeodesicradialanalyze
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We study the energy conditions and geodesic deformations in Bertrand space-times. We show that these can be thought of as interesting physical space-times in certain regions of the underlying parameter space, where the weak and strong energy conditions hold. We further compute the ESR parameters and analyze them numerically. The focusing of radial time-like and radial null geodesics is shown explicitly, which verifies the Raychaudhuri equation.

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