Fluid sphere: stability problem and dimensional constraint

Abstract

We study different dimensional fluids inspired by noncommutative geometry which admit conformal Killing vectors. The solutions of the Einstein field equations examined specifically for five different set of spacetime. We calculate the active gravitational mass and impose stability conditions of the fluid sphere. The analysis thus carried out immediately indicates that at $4$-dimension only one can get a stable configuration for any spherically symmetric stellar system and any other dimensions, lower or higher, becomes untenable as far as the stability of a system is concerned.

14 pages, 2 figures, major changes in text and references, accepted in International Journal of Modern Physics D

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Cited by in corpus (6)

• Compact stars in $f(R,T)$ gravity
• Possibility of higher dimensional anisotropic compact star
• Relativistic compact stars in $f(T)$ gravity admitting conformal motion
• Interior Solutions of Fluid Sphere in f(R,T) Gravity Admitting Conformal Killing Vectors
• Conformally symmetric wormhole solutions supported by non-commutative geometry in $f(Q,T)$ gravity
• Gravothermal Phase Transition, Black Holes and Space Dimensionality