The Tolman VII solution, trapped null orbits and w - modes

Abstract

The Tolman VII solution is an exact static spherically symmetric perfect fluid solution of Einstein's equations that exhibits a surprisingly good approximation to a neutron star. We show that this solution exhibits trapped null orbits in a causal region even for a tenuity (total radius to mass ratio) $>3$. In this region the dynamical part of the potential for axial w - modes dominates over the centrifugal part.

5 pages revtex. 10 figures png. Further information at http://grtensor.phy.queensu.ca/tolmanvii/

References in corpus (3)

• Neutron Star Structure and the Equation of State
• Exact Solutions with w - modes
• Constructing stellar objects with multiple necks

Cited by in corpus (16)

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• A simple protocol to construct solutions with vanishing complexity by Gravitational Decoupling
• Possible Physical Realizations of the Tolman VII solution
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• Compact stars with exotic matter
• Extended Tolman III and VII solutions in $f(\mathcal{R},T)$ gravity: Models for neutron stars and supermassive stars
• Dynamical stability of the modified Tolman VII solution
• New interior model of neutron stars
• Neutrino trapping in extremely compact Tolman VII spacetimes
• Slowly rotating Tolman VII solution
• Horizonless star based on regular black hole with finite radius and its observational signatures
• Inverse approach to Einstein's equations for fluids with vanishing anisotropic stress tensor
• Analytical model of millisecond pulsar PSR J0514-4002A
• The Tolman VII Space-time in the Presence of a Charge and a Cosmological Constant
• Spherical and Plane Symmetric Solutions in Macroscopic Gravity
• Static Charged Polytropic Spheres with a Cosmological Constant: Physical Acceptability and Trapped Orbits