Buchdahl's inequality in five dimensional Gauss-Bonnet gravity

Abstract

The Buchdahl limit for static spherically symmetric isotropic stars is generalised to the case of five dimensional Gauss-Bonnet gravity. Our result depends on the sign of the Gauss-Bonnet coupling constant $\alpha$. When $\alpha >0$, we find, unlike in general relativity, that the bound is dependent on the stellar structure, in particular the central energy density. We find that stable stellar structures can exist arbitrarily close to the event horizon. Thus stable stars can exist with extra mass in this theory compared to five dimensional general relativity. For $\alpha <0$ it is found that the Buchdahl bound is more restrictive than the general relativistic case.

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References in corpus (6)

• Final fate of spherically symmetric gravitational collapse of a dust cloud in Einstein-Gauss-Bonnet gravity
• Power spectra from an inflaton coupled to the Gauss-Bonnet term
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Cited by in corpus (8)

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• Buchdahl compactness limit for a pure Lovelock static fluid star
• Extra packing of mass of anisotropic interiors induced by MGD
• Limits on stellar structures in Lovelock theories of gravity
• Buchdahl compactness limit and gravitational field energy
• Packing extra mass in compact stellar structures: An interplay between Kalb-Ramond field and extra dimensions
• A possible testbed for warped extra dimension from the angle of Buchdahl's limit