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: $M<\frac{R}{3}+\frac{2Q^2}{3R}$.

5 pages

References in corpus (6)

• Light ring stability in ultra-compact objects
• Upper bound on the radii of black-hole photonspheres
• Extremal Kerr-Newman black holes with extremely short charged scalar hair
• A no-short scalar hair theorem for rotating Kerr black holes
• Self-gravitating field configurations: The role of the energy-momentum trace
• On the number of light rings in curved spacetimes of ultra-compact objects

Cited by in corpus (4)

• The extreme orbital period in scalar hairy kerr black holes
• 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