Role of equation of states and thermodynamic potentials in avoidance of trapped surfaces in gravitational collapse

• Main Authors: Goswami, Rituparno, Govender, Terricia
• Format: Journal Article
• Language: English
• Published: 04-03-2019
• Subjects: Physics - General Relativity and Quantum Cosmology
• DOI: 10.48550/arxiv.1903.01126

In this paper we consider the novel scenario where a spherically symmetric
perfect fluid star is undergoing continual gravitational collapse while
continuously radiating energy in an exterior radiating spacetime. There are no
trapped surfaces and the collapse ends to a flat spacetime. Also the collapsing
matter obeys the weak and dominant energy conditions at all epoch. Our analysis
transparently brings out the role of the equation of state as well as the
bounds on the thermodynamic potentials to realise such a scenario. We argue
that, since the system of Einstein field equations allows for such a scenario
for an open set of initial data as well as the equation of state function in
their respective functional spaces, these models are generic and devoid of the
problems and paradoxes related to horizons and singularities. The recent high
resolution radio telescopes should in principle detect the presence of these
compact objects in the sky.