Five-Dimensional Dust Collapse With Cosmological Constant

Ghosh, Sushant G.; Deshkar, D. W.; Saste, N. N.

doi:10.1142/s0218271807009309

Cited by 16 publications

(15 citation statements)

References 29 publications

(31 reference statements)

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“…where W = W (r) is an arbitrary function of r. Note the striking similarity of function A with analogous 5D-LTB solutions [18,20,21]. In what follows we shall consider the case A(t, r) = R ′ /W , since in the other case the α → 0 leads to a trivial solution.…”

Section: D Lemaitre-tolman-bondi Solutions In Einstein Gauss-bonmentioning

confidence: 98%

Inhomogeneous dust collapse in 5D Einstein-Gauss-Bonnet gravity

Jhingan

Ghosh

2010

Phys. Rev. D

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We consider a Lemaitre -Tolman -Bondi type space-time in Einstein gravity with the Gauss-Bonnet combination of quadratic curvature terms, and present exact solution in closed form. It turns out that the presence of the coupling constant of the Gauss-Bonnet terms α > 0 completely changes the causal structure of the singularities from the analogous general relativistic case. The gravitational collapse of inhomogeneous dust in the five-dimensional Gauss-Bonnet extended Einstein equations leads to formation of a massive, but weak, timelike singularity which is forbidden in general relativity. Interestingly, this is a counterexample to three conjecture viz. cosmic censorship conjecture, hoop conjecture and Seifert's conjecture.

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Section: D Lemaitre-tolman-bondi Solutions In Einstein Gauss-bonmentioning

confidence: 98%

Inhomogeneous dust collapse in 5D Einstein-Gauss-Bonnet gravity

Jhingan

Ghosh

2010

Phys. Rev. D

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“…The solution for B(r, t) in Eq. (10) is similar to 5D-LTB solution [39,40,41], while solution in Eq. (11) is trivial for α → 0, hence we take non-trivial form of B(r, t) given in Eq.(10).…”

Section: Exact Solution Of Field Equations In Einstein Gauss-bonnet Gmentioning

confidence: 76%

“…(14) is not always a unique choice for p(t). For example it can be treated with c = 0, but such choices do not provide the results in closed form which reduce to 5D dimensional perfect fluid collapse in the limit α → 0 [33,40,41], and not recover the results of 5D dust collapse in Einstein Gauss-Bonnet gravity as p → 0 [37]. That is why we have taken the pressure as constant which is a better choice in the present situation.…”

Section: Exact Solution Of Field Equations In Einstein Gauss-bonnet Gmentioning

confidence: 99%

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Gravitational perfect fluid collapse in Gauss–Bonnet gravity

Abbas

Tahir

2017

Eur. Phys. J. C

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The Einstein Gauss-Bonnet theory of gravity is the low energy limit of heterotic super-symmetric string theory. This paper deals gravitational collapse of perfect fluid in Einstein Gauss-Bonnet gravity by considering the Lemaitre -Tolman -Bondi metric. For this purpose, the closed form of exact solution of equations of motion has been determined by using the conservation of stress-energy tensor and the condition of marginally bound shells. It has been investigated that the presence of Gauss-Bonnet coupling term α > 0 and pressure of the fluid modifies the structure and time formation of singularity. In this analysis singularity form earlier than horizon, so end state of the collapse is a naked singularity depending on the initial data. But this singularity is weak and timelike that goes against the investigation of general relativity. Some future research directions are mentioned at the end of the paper.

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“…It has been reported that constant specific heat (C.S.H) approximation 24,25,26 widely used in standard thermodynamics, is applicable to the multifractal data too. Nearly constant values of multifractal specific heat have been observed from the analysis of the experimental data on hh and AA collisions 12,27,28,29,30,31 ; the analysis has been carried out following the method proposed by Takagi 23 .…”

Section: Introductionmentioning

confidence: 99%

Multifractal characteristics of multiparticle production in heavy-ion collisions at SPS energies

Khan

Ahmad

2018

Int. J. Mod. Phys. E

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Entropy, dimensions and other multifractal characteristics of multiplicity distributions of relativistic charged hadrons produced in ion-ion collisions at SPS energies are investigated. The analysis of the experimental data is carried out in terms of phase space bin-size dependence of multiplicity distributions following the Takagi's approach. Yet another method is also followed to study the multifractality which, is not related to the bin-width and (or) the detector resolution, rather involves multiplicity distribution of charged particles in full phase space in terms of information entropy and its generalization, Rényi's order-q information entropy. The findings reveal the presence of multifractal structure-a remarkable property of the fluctuations. Nearly constant values of multifractal specific heat, 'c' estimated by the two different methods of analysis followed indicate that the parameter 'c' may be used as a universal characteristic of the particle production in high energy collisions. The results obtained from the analysis of the experimental data agree well with the predictions of Monte Carlo model AMPT.

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Five-Dimensional Dust Collapse With Cosmological Constant

Cited by 16 publications

References 29 publications

Inhomogeneous dust collapse in 5D Einstein-Gauss-Bonnet gravity

Inhomogeneous dust collapse in 5D Einstein-Gauss-Bonnet gravity

Gravitational perfect fluid collapse in Gauss–Bonnet gravity

Multifractal characteristics of multiparticle production in heavy-ion collisions at SPS energies

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