On astrophysical bounds of the cosmological constant

Abstract

Astrophysical bounds on the cosmological constant are examined for spherically symmetric bodies. Similar limits emerge from hydrostatical and gravitational equilibrium and the validity of the Newtonian limit. It is argued that the bound coming from the analysis of exact solutions is not a feature of the relativistic theory since it also emerges from the Newtonian theory. The methods in use seem to be disjoint from the basic principles, however they have the same implication regarding the upper bounds. Therefore we will compare different inequalities and comment on the possible relationship between them.

19 pages, LaTeX; revised version with new section 8, improved introduction and summary; one reference added

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Cited by in corpus (17)

• Bounds on the basic physical parameters for anisotropic compact general relativistic objects
• Minimum mass-radius ratio for charged gravitational objects
• Scales Set by the Cosmological Constant
• Physics of dark energy particles
• Does the cosmological constant imply the existence of a minimum mass?
• Comparing two approaches to Hawking radiation of Schwarzschild-de Sitter black holes
• Bounds on M/R for static objects with a positive cosmological constant
• Perfect fluid spheres with cosmological constant
• Equilibrium of large astrophysical structures in the Newton-Hooke spacetime
• Buchdahl type inequalities in $d$-dimensions
• Ellipsoidal configurations in the de Sitter spacetime
• Velocity and velocity bounds in static spherically symmetric metrics
• Static perfect fluid balls with given equation of state and cosmological constant
• Generating exact polytropes in non-conservative unimodular geometries
• Strange quark star in dilaton gravity
• The Dirac equation in the Kerr-de Sitter metric
• The effects of a non-zero cosmological constant on the Veltmann models