Upper bound on the gravitational masses of stable spatially regular charged compact objects

Abstract

In a very interesting paper, Andréasson has recently proved that the gravitational mass of a spherically symmetric compact object of radius $R$ and electric charge $Q$ is bounded from above by the relation $\sqrt{M}\le \frac{\sqrt{R}}{3}+\sqrt{\frac{R}{9}+\frac{Q^2}{3R}}$. In the present paper we prove that, in the dimensionless regime $Q/M<\sqrt{9/8}$, a stronger upper bound can be derived on the masses of physically realistic ({\it stable}) self-gravitating horizonless compact objects: $M<\frac{R}{3}+\frac{2Q^2}{3R}$.

arXiv comment5 pages

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Cited by in corpus (10)

• On instabilities of scalar hairy regular compact reflecting stars
• Buchdahl compactness limit and gravitational field energy
• The extreme orbital period in scalar hairy kerr black holes
• Ultra-compact spherically symmetric dark matter charged star objects
• Extending the weak cosmic censorship conjecture to the charged Buchdahl star by employing the gedanken experiments
• The existence of null circular geodesics outside extremal spherically symmetric asymptotically flat hairy black holes
• Upper bound on the radii of regular ultra-compact star photonspheres
• Upper bounds on the compactness at the innermost light ring of anisotropic horizonless spheres
• Stationary scalar hairy configurations supported by Neumann compact stars
• On instabilities of stationary scalar field configurations supported by reflecting compact stars