On singularity-free spacetimes

Dadhich, Naresh; Patel, L. K.; Tikekar, Ramesh

doi:10.1007/bf02847607

Cited by 29 publications

(30 citation statements)

References 4 publications

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“…In the early 1990s, L. K. Patel, Ramesh Tikekar and myself ob-tained some singularity free cosmological solutions [7], in particular one with a stiff fluid equation of state ρ = p. During this period, I had several discussions with AKR. We both shared the view that the assumption of the existence of a closed trapped surface almost amounted to putting in a singularity.…”

Section: Singularity and Akrmentioning

confidence: 99%

Singularity: Raychaudhuri equation once again

Dadhich

2007

Pramana - J Phys

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I first recount Raychaudhuri's deep involvement with the singularity problem in general relativity. I then argue that precisely the same situation has arisen today in loop quantum cosmology as obtained when Raychaudhuri discovered his celebrated equation. We thus need a new analogue of the Raychaudhuri equation in quantum gravity. Singularity and AKRIt would not be far from the truth to say that A. K. Raychaudhuri (AKR) had a fascinatingly engaging love affair with the notion of a spacetime singularity at the two ends of his research career. One of his early concerns was to construct a model of a collapsing homogeneous dust ball (he was unaware of Oppenheimer-Snyder collapse) and show that nothing prevented the ball from collapsing down to the centre r = 0 and thereby demystify the so called Schwarzschild singularity at r = 2M [1]. Then he addressed the most pertinent question of his time: is the cosmic singularity predicted by the FRW model an artifact of the homogeneity and isotropy of space or not? As he explained in his reminiscences [2], inspired by the famous Gödel solution, he was looking for a rotating non-singular solution without closed timelike lines. In the process, he discovered his celebrated equation [3] which made the singularity analysis free of these restrictions. That ultimately led to the powerful Hawking-Pensrose singularity theorems 1

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Section: Singularity and Akrmentioning

confidence: 99%

Singularity: Raychaudhuri equation once again

Dadhich

2007

Pramana - J Phys

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“…Later Ruis and Senovilla [40] have separated out a fairly large class of singularity-free models through a comprehensive study of general cylindrically symmetric metric with separable function of r and t as metric coefficients. Dadhich CylindricaJly symmetric inhomogeneous models ... et al [41] have established a link between the FRW model and the singularity free family by deducing the later through a natural and simple inhomogenization and anisotropization of the former. Recently, Patel et al [42] presented a general class of inhomogeneous cosmological models filled with non-thermalized perfect fluid by assuming that the background spacetime admits two space-like commuting Killing vectors and has separable metric coefficients.…”

Section: Introductionmentioning

confidence: 98%

Cylindrically symmetric inhomogeneous cosmological models with viscous fluid and varying Λ

Pradhan

Singh

Jotania³

2006

Czech J Phys

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“…Later, Ruis and Senovilla [10] have separated out a fairly large class of singularity free models through a comprehensive study of general cylindrically symmetric metric with separable function of r and t as metric coefficients. Dadhich et al [11] have established a link between the FRW model and the singularity free family by deducing the latter through a natural and simple inhomogenization and anisotropization of the former. Recently, Patel et al [12] presented a general class of inhomogeneous cosmological models filled with nonthermalized perfect fluid by assuming that the background space-time admits two space-like commuting killing vectors and has separable metric coefficients.…”

Section: Introductionmentioning

confidence: 99%

Plane Symmetric Inhomogeneous Cosmological Models with a Perfect Fluid in General Relativity

Pradhan

Pandey

Singh³

2007

Int J Theor Phys

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A plane-symmetric inhomogeneous cosmological model of perfect fluid distribution with electro-magnetic field is obtained. The source of the magnetic field is due to an electric current produced along the z-axis. F12 is the non-vanishing component of electromagnetic field tensor. To get a deterministic solution, we assume the free gravitational field is Petrov type-II non-degenerate. The behaviour of the electro-magnetic field tensor together with some physical aspects of the model are also discussed.

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On singularity-free spacetimes

Cited by 29 publications

References 4 publications

Singularity: Raychaudhuri equation once again

Singularity: Raychaudhuri equation once again

Cylindrically symmetric inhomogeneous cosmological models with viscous fluid and varying Λ

Plane Symmetric Inhomogeneous Cosmological Models with a Perfect Fluid in General Relativity

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