Stellar modeling via the Tolman IV solution: The cases of the massive pulsar J0740+6620 and the HESS J1731-347 compact object

Abstract

We model compact objects of known stellar mass and radius made of isotropic matter within Einstein's gravity. The interior solution describing hydrostatic equilibrium we are using throughout the manuscript corresponds to the Tolman IV exact analytic solution obtained long time ago. The three free parameters of the solutions are determined imposing the matching conditions for objects of known stellar mass and radius. Finally, using well established criteria it is shown that contrary to the Kohler Chao solution, the Tolman IV solution is compatible with all requirements for well behaved and realistic solutions. except for the relativistic adiabatic index that diverges at the surface of the stars. The divergence of the index $\Gamma$ may be resolved including a thin crust assuming a polytropic equation-of-state, which is precisely the case seen in studies of neutron stars. To the best of our knowledge, we model here for the first time the recently discovered massive pulsar PSR J0740+6620 and the strangely light HESS compact object via the Tolman IV solution. The present work may be of interest to model builders as well as a useful reference for future research.

12 pages, 5 figures

References in corpus (17)

• Shapiro delay measurement of a two solar mass neutron star
• A Massive Pulsar in a Compact Relativistic Binary
• Color superconductivity in dense quark matter
• A NICER View of the Massive Pulsar PSR J0740+6620 Informed by Radio Timing and XMM-Newton Spectroscopy
• Searching Exact Solutions for Compact Stars in Braneworld: a conjecture
• Brane-world stars with solid crust and vacuum exterior
• The Radius of PSR J0740+6620 from NICER with NICER Background Estimates
• Constraining values of bag constant for strange star candidates
• Extended quantum portrait of MGD black holes and information entropy
• Non-uniform Braneworld Stars: an Exact Solution
• The Schwarzschild's Braneworld Solution
• Complexity Factor for Static Sphere in Self-interacting Brans-Dicke Gravity
• An analytical anisotropic compact stellar model of embedding class I
• Regular charged black holes, energy conditions and quasinormal modes
• Anisotropic stars made of exotic matter within the complexity factor formalism
• Anisotropic Quark Stars with an Interacting Quark Equation of State within the Complexity Factor Formalism
• Quark stars with isotropic matter in Hořava gravity and Einstein-æther theory

Cited by in corpus (1)

• Radial Oscillations of the HESS J1731-347 Compact Object via the Karmarkar Condition in Gravity