Time functions in numerical relativity: Marginally bound dust collapse

Eardley, Douglas M.; Smarr, Larry

doi:10.1103/physrevd.19.2239

Cited by 476 publications

(486 citation statements)

References 36 publications

Supporting

Mentioning

473

Contrasting

Order By: Relevance

“…Detailed analysis on the occurrence of naked shell-focusing singularity has been done in [1][2][3][4][29][30][31]. Here we present one of the results.…”

Section: Lemaître-tolman-bondi Solutionmentioning

confidence: 66%

“…The Hawking radiation is derived in the fixed background spacetime as has been done in this paper. The result is thermal radiation, the temperature of which is given by 1) and the power is given by…”

Section: Discussionmentioning

confidence: 99%

“…It was shown that the collapse of an inhomogeneous dust ball results in shell-focusing naked singularity formation [1][2][3][4]. Ori and Piran [5][6][7] and Harada [8] showed that naked singularity formation is possible from the spherical collapse of a perfect fluid with a very soft equation of state.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Power, energy, and spectrum of a naked singularity explosion

2000

View full text Add to dashboard Cite

It is well known that a naked singularity occurs in the gravitational collapse of an inhomogeneous dust ball from an initial density profile which is physically reasonable. In this paper we show that explosive radiation is emitted during the formation process of the naked singularity while we fix the background spacetime. The energy flux is proportional to (tCH − t) −3/2 for a minimally coupled massless scalar field, while it is proportional to (tCH − t) −1 for a conformally coupled massless scalar field, where tCH − t is the "remaineing time" until the distant observer could observe the singularity if the naked singularity was formed. As a consequence, the radiated energy grows unboundedly for both scalar fields. The amount of the power and energy depends on the parameters which characterize the initial density profile but do not depend on the gravitational mass of the cloud. In particular, there is a characteristic frequency νs of the singularity above which the divergent energy is radiated. The energy flux is dominated by particles of which the wavelength is about tCH − t at each moment. The observed total spectrum is nonthermal, i.e., νdN/dν ∼ (ν/νs) −1 for ν > νs. If the naked singularity formation could continue until a considerable fraction of the total energy of the dust cloud is radiated, the radiated energy would reach about 10 54 (M/M⊙)erg. The calculations are based on the geometrical optics approximation which turns out to be consistent for a rough order estimate. The analysis does not depend on whether or not the naked singularity occurs in its exact meaning. This phenomenon may provide a new candidate for a source of ultrahigh energy cosmic rays or a central engine of γ-ray bursts.

show abstract

“…Detailed analysis on the occurrence of naked shell-focusing singularity has been done in [1][2][3][4][29][30][31]. Here we present one of the results.…”

Section: Lemaître-tolman-bondi Solutionmentioning

confidence: 66%

Section: Discussionmentioning

confidence: 99%

See 1 more Smart Citation

Power, energy, and spectrum of a naked singularity explosion

2000

View full text Add to dashboard Cite

show abstract

“…The collapse of spherically symmetric inhomogeneous dust has been studied in detail, and we now know that the outcome is generically either a black hole or a naked singularity, depending on the nature of the initial data from which the collapse develops [4].…”

Section: Spherically Symmetric Collapsementioning

confidence: 99%

Gravitational collapse: The story so far

Joshi

2000

Pramana - J Phys

111

View full text Add to dashboard Cite

Abstract. An outstanding problem in gravitation theory and relativistic astrophysics today is to understand the final outcome of an endless gravitational collapse. Such a continual collapse would take place when stars more massive than few times the mass of the sun collapse under their own gravity on exhausting their nuclear fuel. According to the general theory of relativity, this results either in a black hole, or a naked singularity-which can communicate with faraway observers in the universe. While black holes are (almost) being detected and are increasingly used to model high energy astrophysical phenomena, naked singularities have turned into a topic of active discussion, aimed at understanding their structure and implications. Recent developments here are reviewed, indicating future directions.

show abstract

“…It is fair to say that the dynamics of this "Lemaître -Tolman -Bondi" solution are well understood, even with a non-vanishing cosmological constant [3]. Whereas the discovery of "shell-focusing" singularities in dust added a new dimension to the dynamics [4], these singularities are now well studied [5] and are not considered here.…”

Section: Dustmentioning

confidence: 99%