Maximum mass of a cold compact star

Abstract

We calculate the maximum mass of the class of compact stars described by Vaidya-Tikekar \cite{VT01} model. The model permits a simple method of systematically fixing bounds on the maximum possible mass of cold compact stars with a given value of radius or central density or surface density. The relevant equations of state are also determined. Although simple, the model is capable of describing the general features of the recently observed very compact stars. For the calculation, no prior knowledge of the equation of state (EOS) is required. This is in contrast to the earlier calculations for maximum mass which were done by choosing first the relevant EOSs and using those to solve the TOV equation with appropriate boundary conditions. The bounds obtained by us are comparable and, in some cases, more restrictive than the earlier results.

18 pages including 4 *.eps figures. Submitted for publication

References in corpus (16)

• Neutron Star Mass Measurements. I. Radio Pulsars
• Physical Acceptability of Isolated, Static, Spherically Symmetric, Perfect Fluid Solutions of Einstein's Equations
• Strange Stars with Realistic Quark Vector Interaction and Phenomenological Density-dependent Scalar Potential
• Quark stars admitting a one-parameter group of conformal motions
• Is SAX J1808.4-3658 a Strange Star ?
• Towards a Mass and Radius Determination of the Nearby Isolated Neutron Star RX J185635-3754
• Microscopic nuclear equation of state with three-body forces and neutron star structure
• Microscopic Nuclear Equation of State with Three-Body Forces and Neutron Star Structure
• PSR 0943+10: a bare strange star?
• Maximum mass of neutron stars with a quark core
• On the nature of the compact star in 4U 1728-34
• The fastest rotating pulsar: A strange star?
• Maximum mass and radius of strange stars in the linear approximation of the EOS
• The Chandrasekhar limit for quark stars
• Equilibrium configurations for quark-diquark stars and the problem of Her X-1 mass
• Are Radio Pulsars Strange Stars ?

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