Lorentz violation with an invariant minimum speed as foundation of the Gravitational Bose Einstein Condensate of a Dark Energy Star

Cruz, Cláudio Nassif; Santos, Rodrigo Francisco dos; Faria, A. C. Amaro de

doi:10.1016/j.dark.2019.100454

Cited by 5 publications

(1 citation statement)

References 18 publications

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“…Their maximum masses can reach values of the order of 2M ⊙ . Detailed investigations of the compact objects consisting of a Bose-Einstein Condensate have been presented in [51][52][53][54][55][56][57][58][59][60][61][62][63].…”

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confidence: 99%

Bose-Einstein Condensate dark matter models in the presence of baryonic matter and random confining potentials

Harko,

Madarassy

2022

Preprint

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We consider the effects of an uncorrelated random potential on the properties of Bose-Einstein Condensate (BEC) dark matter halos, which acts as a source of disorder, and which is added as a new term in the Gross-Pitaevskii equation, describing the properties of the halo. By using the hydrodynamic representation we derive the basic equation describing the density distribution of the galactic dark matter halo, by also taking into account the effects of the baryonic matter, and of the rotation. The density, mass and tangential velocity profiles are obtained exactly in spherical symmetry by considering a simple exponential density profile for the baryonic matter, and a Gaussian type disorder potential. To test the theoretical model we compare its predictions with a set of 39 galaxies from the Spitzer Photometry & Accurate Rotation Curves (SPARC) database. We obtain estimates of the relevant astrophysical parameters of the dark matter dominated galaxies, including the baryonic matter properties, and the parameters of the random potential. The BEC model in the presence of baryonic matter and a random confining potential gives a good statistical description of the SPARC data. The presence of the condensate dark matter could also provide a solution for the core/cusp problem.

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confidence: 99%

Bose-Einstein Condensate dark matter models in the presence of baryonic matter and random confining potentials

Harko,

Madarassy

2022

Preprint

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Deformed special relativity with an invariant minimum speed as an explanation of the cosmological constant

Cruz

2022

Pramana - J Phys

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Graviton mass due to dark energy as a superconducting medium-theoretical and phenomenological aspects

Inan,

Ali,

Jusufi

et al. 2024

J. Cosmol. Astropart. Phys.

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It is well known that the cosmological constant term in the Einstein field equations can be interpreted as a stress tensor for dark energy. This stress tensor is formally analogous to an elastic constitutive equation in continuum mechanics. As a result, the cosmological constant leads to a “shear modulus” and “bulk modulus” affecting all gravitational fields in the universe. The form of the constitutive equation is also analogous to the London constitutive equation for a superconductor. Treating dark energy as a type of superconducting medium for gravitational waves leads to a Yukawa-like gravitational potential and a massive graviton within standard General Relativity. We discuss a number of resulting phenomenological aspects such as a screening length scale that can also be used to describe the effects generally attributed to dark matter. In addition, we find a gravitational wave plasma frequency, index of refraction, and impedance. The expansion of the universe is interpreted as a Meissner-like effect as dark energy causes an outward “expulsion” of space-time similar to a superconductor expelling a magnetic field. The fundamental cause of these effects is interpreted as a type of spontaneous symmetry breaking of a scalar field. There is an associated chemical potential, critical temperature, and an Unruh-Hawking effect associated with the formulation.

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Lorentz violation with an invariant minimum speed as foundation of the Gravitational Bose Einstein Condensate of a Dark Energy Star

Cited by 5 publications

References 18 publications

Bose-Einstein Condensate dark matter models in the presence of baryonic matter and random confining potentials

Bose-Einstein Condensate dark matter models in the presence of baryonic matter and random confining potentials

Deformed special relativity with an invariant minimum speed as an explanation of the cosmological constant

Graviton mass due to dark energy as a superconducting medium-theoretical and phenomenological aspects

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