Sharp bounds on 2m/r for static spherical objects

Abstract

Sharp bounds are obtained, under a variety of assumptions on the eigenvalues of the Einstein tensor, for the ratio of the Hawking mass to the areal radius in static, spherically symmetric space-times.

We changed a footnote in which an earlier result of Håkan Andréasson was not described correctly

References in corpus (3)

• On static shells and the Buchdahl inequality for the spherically symmetric Einstein-Vlasov system
• Bounds on 2m/R for static spherical objects
• On the Buchdahl inequality for spherically symmetric static shells

Cited by in corpus (34)

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• Sharp bounds on the critical stability radius for relativistic charged spheres
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• A numerical investigation of the steady states of the spherically symmetric Einstein-Vlasov-Maxwell system
• Generating static spherically symmetric anisotropic solutions of Einstein's equations from isotropic Newtonian solutions
• Buchdahl compactness limit for a pure Lovelock static fluid star
• Compactness bounds in General Relativity
• Extra packing of mass of anisotropic interiors induced by MGD
• Quasiblack holes with pressure: relativistic charged spheres as the frozen stars
• Limits on stellar structures in Lovelock theories of gravity
• Bounds on M/R for Charged Objects with positive Cosmological constant
• Schwarzschild geometry counterpart in semiclassical gravity
• Buchdahl compactness limit and gravitational field energy
• Bounds on M/R for static objects with a positive cosmological constant
• Buchdahl's inequality in five dimensional Gauss-Bonnet gravity
• An electromagnetic extension of the Schwarzschild interior solution and the corresponding Buchdahl limit
• Ultracompact horizonless objects in order-reduced semiclassical gravity
• Packing extra mass in compact stellar structures: An interplay between Kalb-Ramond field and extra dimensions
• Ultra-compact spherically symmetric dark matter charged star objects
• Strange star with Krori-Barua potential in presence of anisotropy
• Maximum Force for Black Holes and Buchdahl Stars
• Spherically symmetric elastic bodies in general relativity
• Buchdahl type inequalities in $d$-dimensions
• Probing the stability of gravastars by dropping dust shells onto them
• Sharp bounds on the radius of relativistic charged spheres: Guilfoyle's stars saturate the Buchdahl-Andréasson bound
• Horndeski fermion-boson stars
• New bound of the mass-to-radius ratio for electrically charged stars
• Whispers from the quantum core: the ringdown of semiclassical stars
• Classification theorem and properties of singular solutions to the Tolman-Oppenheimer-Volkoff equation
• Universality of the Buchdahl sphere
• Physical properties of a source of the Kerr metric: Bound on the surface gravitational potential and conditions for the fragmentation
• Beyond Buchdahl's limit: bilayered stars and thin-shell configurations
• Compact elastic objects in general relativity