Spherically Symmetric Fluid Cosmological  Model with Anisotropic Stress Tensor in  General Relativity

Pawar, D. D.; Patil, V. R.; Bayaskar, S. N.

doi:10.5402/2012/965164

Cited by 3 publications

(4 citation statements)

References 12 publications

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“…Note that we should not automatically associate the component T 0 with the matter density and T i with fluid pressure-T 1 is the radial pressure, and T 2 is the angular pressure, which accounts for possible anisotropies. This spacetime is Type I in the Hawking-Ellis classification [38], and see [39] for more on our approach to anisotropic stress-energy tensors. In fact, we could have expected this form of the energy-momentum tensor in the first place, since the spacetime we started with only had S 2 -symmetry in the first place (not S 3 ).…”

Section: A Self-consistent Matter Model For Mmentioning

confidence: 99%

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Metrics on End-Periodic Manifolds as Models for Dark Matter

Duston¹

2022

Universe

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In this paper we will detail an approach to generate metrics and matter models on end-periodic manifolds, which are used extensively in the study of the exotic smooth structures of R4. After an overview of the technique, we will present two specific examples, discuss the associated matter models by solving the Einstein equations, and determine the physical viability by examining the energy conditions. We compare the resulting model directly with existing models of matter distributions in extragalactic systems, to highlight the viability of utilizing exotic smooth structures to understand the existence and distribution of dark matter.

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Section: A Self-consistent Matter Model For Mmentioning

confidence: 99%

“…The vanishing of the angular pressure T 2 = 0 is a clear sign of the anisotropy, which we will briefly discuss. For a stress-energy tensor with anisotropic stress we have the generic equation [39] T ab = (ρ + p)u a u b + π ab , where the anisotropy can be parameterized as…”

Section: A Self-consistent Matter Model For Mmentioning

confidence: 99%

Metrics on End-Periodic Manifolds as Models for Dark Matter

Duston¹

2022

Universe

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Section: A Self-consistent Matter Model For Flrwmentioning

confidence: 99%

Section: A Building Block With An Locally Embedded Conformal Surfacementioning

confidence: 99%

Metrics on End-Periodic Manifolds as Models for Dark Matter

Duston¹

2021

Preprint

View full text Add to dashboard Cite

In this paper we will detail an approach to generate metrics and matter models on end-periodic manifolds, which are used extensively in the study of the exotic smooth structures of R 4 . We will present three distinct examples, discuss their associated matter models by solving the Einstein equations, and determine their physical viability by examining the energy conditions. We will also compare one of the models directly with existing models of matter distributions in extragalactic systems, to highlight the viability of utilizing exotic smooth structures to understand the existence and distribution of dark matter.

show abstract