Genericity aspects of black hole formation in the collapse of spherically symmetric slightly inhomogeneous perfect fluids

Satin, Seema; Malafarina, Daniele; Joshi, Pankaj S.

doi:10.1142/s0218271816500231

Cited by 8 publications

(6 citation statements)

References 16 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…When a collapsing matter cloud virializes before the formation of a black hole, then the above mentioned spacetime structure can be formed. There are many literature where the final state of collapsing matter cloud is discussed elaborately [16,[37][38][39][40][41][42][43]. In [44], it is shown that Bertrand spacetimes (BST) can be formed as an equilibrium state of gravitational collapse.…”

Section: Timelike Geodesics In Schwarzschild and Bst Spacetimesmentioning

confidence: 99%

Timelike Geodesics in Naked Singularity and Black Hole Spacetimes II

Joshi,

Bambhaniya,

Dey

et al. 2019

Preprint

Self Cite

View full text Add to dashboard Cite

We derive here the orbit equations of particles in naked singularity spacetimes, namely the Bertrand (BST) and Janis-Newman-Winicour (JNW) geometries, and for the Schwarzschild black hole. We plot the orbit equations and find the Perihelion precession of the orbits of particles in the BST and JNW spacetimes and compare these with the Schwarzschild black hole spacetime. We find and discuss different distinguishing properties in the effective potentials and orbits of particle in BST, JNW and Schwarzschild spacetimes, and the particle trajectories are shown for the matching of BST with an external Schwarzschild spacetime. We show that the nature of perihelion precession of orbits in BST and Schwarzschild spacetimes are similar, while in the JNW case the nature of perihelion precession of orbits is opposite to that of the Schwarzschild and BST spacetimes. Other interesting and important features of these orbits are pointed out.

show abstract

Section: Timelike Geodesics In Schwarzschild and Bst Spacetimesmentioning

confidence: 99%

Timelike Geodesics in Naked Singularity and Black Hole Spacetimes II

Joshi,

Bambhaniya,

Dey

et al. 2019

Preprint

Self Cite

View full text Add to dashboard Cite

show abstract

“…For example, a spherical homogeneous collapse would create a Schwarzschild black hole, which has an event horizon and a singularity at the center. A physically more realistic class of collapse models, with non-zero pressures and inhomogeneities in the matter distribution included were studied in [39][40][41]. The final outcome of the collapse asymptotically then was obtained as an equilibrium configuration, with a singularity at the center, but with no event horizon, as trapped surfaces fail to form as the collapse proceeds.…”

Section: Introductionmentioning

confidence: 99%

Timelike geodesics in naked singularity and black hole spacetimes

et al. 2019

Self Cite

View full text Add to dashboard Cite

In this paper, we derive the solutions of orbit equations for a class of naked singularity spacetimes, and compare these with timelike orbits, that is, particle trajectories in the Schwarzschild black hole spacetime. The Schwarzschild and naked singularity spacetimes considered here can be formed as end state of a spherically symmetric gravitational collapse of a matter cloud. We find and compare the perihelion precession of the particle orbits in the naked singularity spacetime with that of the Schwarzschild black hole. We then discuss different distinguishable physical properties of timelike orbits in the black hole and naked singularity spacetimes and implications are discussed. Several interesting differences follow from our results, including the conclusion that in naked singularity spacetimes, particle bound orbits can precess in the opposite direction of particle motion, which is not possible in Schwarzschild spacetime.

show abstract

“…The results show that there is always a possibility that singularity becomes globally and locally visible, at least for some time. The genericity of these naked singularities was also investigated [54], [55] [56], and it was found that there can be generic naked singularity solutions of Einstein equation. This does not really disprove the CCC, as there is always a debate on the physical viability of the initial conditions which are taken for a collapsing scenario.…”

Section: Stellar Collapse and Cosmic Censorship Conjecturementioning

confidence: 99%

Gravitational collapse of baryonic and dark matter

Dey

Joshi

2019

Arab. J. Math.

Self Cite

View full text Add to dashboard Cite

A massive star undergoes a continual gravitational collapse when the pressures inside the collapsing star become insufficient to balance the pull of gravity. The Physics of gravitational collapse of stars is well studied. Using general relativistic techniques one can show that the final fate of such a catastrophic collapse can be a black hole or a naked singularity, depending upon the initial conditions of gravitational collapse. While stars are made of baryonic matter whose collapse is well studied, there is good indirect evidence that another type of matter, known as dark matter, plays an important role in the formation of large-scale structures in the universe, such as galaxies. It is estimated that some eighty-five percent of the total matter in the universe is dark matter. Since the particle constituent of dark matter is not known yet, the gravitational collapse of dark matter is less explored. Here we consider first some basic properties of baryonic matter and dark matter collapse. Then we discuss the final fate of gravitational collapse for different types of matter fields and the nature of the singularity which can be formed as an endstate of gravitational collapse. We then present a general relativistic technique to form equilibrium configurations, and argue that this can be thought of as a general relativistic analog of the standard virialization process. We suggest a modification, where the Top-Hat collapse model of primordial dark matter halo formation is modified by using the general relativistic technique of equilibrium. We also explain why this type of collapse process is more likely to happen in the dark matter fields.

show abstract

Genericity aspects of black hole formation in the collapse of spherically symmetric slightly inhomogeneous perfect fluids

Cited by 8 publications

References 16 publications

Timelike Geodesics in Naked Singularity and Black Hole Spacetimes II

Timelike Geodesics in Naked Singularity and Black Hole Spacetimes II

Timelike geodesics in naked singularity and black hole spacetimes

Gravitational collapse of baryonic and dark matter

Contact Info

Product

Resources

About