Three-dimensional classical spacetimes

Barrow, John D.; Burd, A. B.; Lancaster, David

doi:10.1088/0264-9381/3/4/010

Cited by 149 publications

(140 citation statements)

References 32 publications

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“…Friedman-Robertson-Walker solutions for actions of this form, with exponential potentials, have been investigated previously in the literature, see e.g., [32][33][34][35][36][37][38][39]. Recently, there has been a great deal of discussion of analogous solutions in string-and M-theory, see e.g., [40][41][42][43][44][45][46][47][48][49][50][51][52][53]27].…”

Section: Fixed-point Dynamicsmentioning

confidence: 99%

Spontaneous decompactification

Giddings

Myers

2004

Phys. Rev. D

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Positive vacuum energy together with extra dimensions of space imply that our fourdimensional Universe is unstable, generically to decompactification of the extra dimensions. Either quantum tunneling or thermal fluctuations carry one past a barrier into the decompactifying regime. We give an overview of this process, and examine the subsequent expansion into the higher-dimensional geometry. This is governed by certain fixed-point solutions of the evolution equations, which are studied for both positive and negative spatial curvature. In the case where there is a higher-dimensional cosmological constant, we also outline a possible mechanism for compactification to a four-dimensional de Sitter cosmology. †

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Section: Fixed-point Dynamicsmentioning

confidence: 99%

Spontaneous decompactification

Giddings

Myers

2004

Phys. Rev. D

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“…In other words, general relativity in (2+1) dimensions has no Newtonian limit and no propagating degrees of freedom [5]. Also, gravastar structure can not be obtained from Newtonian gravity.…”

Section: Introductionmentioning

confidence: 99%

The (2+1)-dimensional gravastars

Rahaman¹,

Ray²,

Usmani³

et al. 2012

Physics Letters B

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We propose a new model of a gravastar in (2+1) anti-de Sitter space-time. This new three dimensional configuration has three different regions with different equations of state: [I] Interior: 0 ≤ r < r 1 , ρ = −p ; [II] Shell: r 1 ≤ r < r 2 , ρ = p; [III] Exterior: r 2 < r, ρ = p = 0. The outer region of this gravastar corresponds to the exterior (2 + 1) anti-de Sitter space-time, popularly known as the BTZ spacetime. Like BTZ model, Λ is taken to be negative, which at the junction turns out to be positive as required by stability of gravastar and mathematical consistency. After investigating the Interior space-time, Shell and Exterior space-time we have highlighted different physical features in terms of Length and Energy, Entropy, and Junction conditions of the spherical distribution. It is shown that the present model of charge-free gravastar in connection to the exterior (2+1) anti-de Sitter space-time or the BTZ space-time is non-singular.

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“…Eqs. (7) do not admit solutions with a static point mass as source [5]. Indeed, they do not admit static and isotropic solutions with concentrated sources (energymomentum tensor that contains Dirac deltas).…”

Section: Field Of Static Isotropic Sources In D=3mentioning

confidence: 99%

Does a relativistic metric generalization of Newtonian gravity exist in 2+1 dimensions?

Alonso

Cortés²,

Laliena³

2003

Phys. Rev. D

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It is shown that, contrary to previous claims, a scalar tensor theory of Brans-Dicke type provides a relativistic generalization of Newtonian gravity in 2+1 dimensions. The theory is metric and test particles follow the space-time geodesics. The static isotropic solution is studied in vacuum and in regions filled with an incompressible perfect fluid. It is shown that the solutions can be consistently matched at the interface matter-vacuum, and that the Newtonian behavior is recovered in the weak field regime.

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Three-dimensional classical spacetimes

Cited by 149 publications

References 32 publications

Spontaneous decompactification

Spontaneous decompactification

The (2+1)-dimensional gravastars

Does a relativistic metric generalization of Newtonian gravity exist in 2+1 dimensions?

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