Buchdahl-Vaidya-Tikekar model for stellar interior in pure Lovelock gravity - II

Abstract

For a given Lovelock order $N$, it turns out that static fluid solutions of the pure Lovelock equation for a star interior have the universal behavior in all $n\ge 2N+2$ dimensions relative to an appropriately defined variable and the Vaidya-Tikekar parameter $K$, indicating deviation from sphericity of $3$-space geometry. We employ the Buchdahl metric ansatz which encompasses almost all the known physically acceptable models including in particular the Vaidya-Tikekar and Finch-Skea. Further for a given star radius, the constant density star, always described by the Schwarzschild interior solution, defines the most compact state of distribution while the other end is marked by the Finch-Skea model, and all the other physically tenable models lie in between these two limiting distributions.

arXiv comment18 pages, 7 figures

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Cited by in corpus (11)

• The Gravitational decoupling method: the higher dimensional case to find new analytic solutions
• A way of decoupling gravitational sources in pure Lovelock gravity
• Relativistic charged spheres: Compact stars, compactness and stable configurations
• Extra packing of mass of anisotropic interiors induced by MGD
• Limits on stellar structures in Lovelock theories of gravity
• Anisotropic extension of Finch and Skea stellar model
• Relativistic Polytropic Models of Charged Anisotropic Compact Object
• Packing extra mass in compact stellar structures: An interplay between Kalb-Ramond field and extra dimensions
• Thermodynamic extended phase space and $P-V$ criticality of black holes at Pure Lovelock gravity
• A possible testbed for warped extra dimension from the angle of Buchdahl's limit
• Representation of compact stars using the black string set--up