Maximum Force for Black Holes and Buchdahl Stars

Abstract

Black hole and Buchdahl star are identified respectively by $\Phi (R)=1/2,4/9$ where $g_{tt}=1-2\Phi (R)$ for a spherically symmetric static metric. We investigate the maximum force for black hole and Buchdahl star when one of the participating objects is charged and/or rotating while the other is neutral and non-rotating. It turns out that the maximum force between two Schwarzschild objects is universal, given in terms of the fundamental constant velocity of light and the gravitational constant in general relativity (GR) in the usual four dimensional spacetime. In general this feature uniquely picks out the pure Lovelock gravity (having only one $N$th order term in action which includes GR in the linear order $N=1$) and the dimensional spectrum, $D=3N+1$, where $N$ is degree of the Lovelock polynomial action.

5 pages, Abstract is revamped, some references are added and the CAS grant his acknowledged. No change in the results. Accepted for publication in PRD

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Cited by in corpus (5)

• Isotropic Buchdahl's relativistic fluid sphere within $f(R,T)$ gravity
• Extending the weak cosmic censorship conjecture to the charged Buchdahl star by employing the gedanken experiments
• A Maximum Force Perspective on Black Hole Thermodynamics, Quantum Pressure, and Near-Extremality
• Universality of the Buchdahl sphere
• From maximum force to physics in 9 lines and towards relativistic quantum gravity