Singularity-free dark energy star

Rahaman, Farook; Maulick, Raju; Yadav, Anil Kumar; Ray, Saibal; Sharma, Ranjan

doi:10.1007/s10714-011-1262-y

Cited by 172 publications

(114 citation statements)

References 30 publications

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“…More recently, a comprehensive work on the influence of local anisotropy on the structure and evolution of compact object has been published by Herrera et al [9]. In this regard several recently performed anisotropic compact star models may be consulted for further reference [10][11][12][13][14][15][16][17][18]. We also note some particular work concerned with the anisotropic aspect in physical systems like Globular Clusters, Galactic Bulges, and Dark Halos in Refs.…”

Section: Introductionmentioning

confidence: 99%

Anisotropic models for compact stars

et al. 2015

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In the present paper we obtain an anisotropic analog of the Durgapal and Fuloria (Gen Relativ Gravit 17:671, 1985) perfect fluid solution. The methodology consists of contraction of the anisotropic factor with the help of both metric potentials e ν and e λ . Here we consider e λ the same as Durgapal and Fuloria (Gen Relativ Gravit 17:671, 1985) did, whereas e ν is as given by Lake (Phys Rev D 67:104015, 2003). The field equations are solved by the change of dependent variable method. The solutions set mathematically thus obtained are compared with the physical properties of some of the compact stars, strange star as well as white dwarf. It is observed that all the expected physical features are available related to the stellar fluid distribution, which clearly indicates the validity of the model.

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Section: Introductionmentioning

confidence: 99%

Anisotropic models for compact stars

et al. 2015

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“…In this connection some other work on the anisotropic compact star models can be found in Refs. [6][7][8][9][10][11][12][13].…”

Section: Introductionmentioning

confidence: 99%

Generalised model for anisotropic compact stars

Gupta²,

et al. 2016

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In the present investigation an exact generalised model for anisotropic compact stars of embedding class 1 is sought with a general relativistic background. The generic solutions are verified by exploring different physical aspects, viz. energy conditions, mass-radius relation, stability of the models, in connection to their validity. It is observed that the model presented here for compact stars is compatible with all these physical tests and thus physically acceptable as far as the compact star candidates R X J 1856-37, S AX J 1808.4-3658 (SS1) and S AX J 1808.4-3658 (SS2) are concerned.

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“…An intriguing possibility is that dark energy, obeying an equation of state of the form ρ DE c 2 + p DE = 0, may condense to form stable self-gravitating objects. This scenario was originally considered in [18][19][20][21][22][23][24]. Dark energy stars or, in a wider sense, objects with negative pressure in their interiors, are interesting alternatives to the standard black hole paradigm.…”

Section: Introductionmentioning

confidence: 99%

The minimum mass of a spherically symmetric object in D-dimensions, and its implications for the mass hierarchy problem

et al. 2015

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The existence of both a minimum mass and a minimum density in nature, in the presence of a positive cosmological constant, is one of the most intriguing results in classical general relativity. These results follow rigorously from the Buchdahl inequalities in four-dimensional de Sitter space. In this work, we obtain the generalized Buchdahl inequalities in arbitrary space-time dimensions with = 0 and consider both the de Sitter and the anti-de Sitter cases. The dependence on D, the number of space-time dimensions, of the minimum and maximum masses for stable spherical objects is explicitly obtained. The analysis is then extended to the case of dark energy satisfying an arbitrary linear barotropic equation of state. The Jeans instability of barotropic dark energy is also investigated, for arbitrary D, in the framework of a simple Newtonian model with and without viscous dissipation, and we determine the dispersion relation describing the dark energy-matter condensation process, along with estimates of the corresponding Jeans mass (and radius). Finally, the quantum mechanical implications of the mass limits are investigated, and we show that the existence of a minimum mass scale naturally leads to a model in which dark energy is composed of a 'sea' of quantum particles, each with an effective mass proportional to 1/4 .

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Singularity-free dark energy star

Cited by 172 publications

References 30 publications

Anisotropic models for compact stars

Anisotropic models for compact stars

Generalised model for anisotropic compact stars

The minimum mass of a spherically symmetric object in D-dimensions, and its implications for the mass hierarchy problem

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