Stability of the graviton Bose-Einstein condensate in the brane-world

Abstract

We consider a solution of the effective four-dimensional Einstein equations, obtained from the general relativistic Schwarzschild metric through the principle of Minimal Geometric Deformation (MGD). Since the brane tension can, in general, introduce new singularities on a relativistic Eötvös brane model in the MGD framework, we require the absence of observed singularities, in order to constrain the brane tension. We then study the corresponding Bose-Einstein condensate (BEC) gravitational system and determine the critical stability region of BEC MGD stellar configurations. Finally, the critical stellar densities are shown to be related with critical points of the information entropy.

7 pages, 4 figures

References in corpus (8)

• Brane-world stars with solid crust and vacuum exterior
• Classical Tests of General Relativity: Brane-World Sun from Minimal Geometric Deformation
• Non-uniform Braneworld Stars: an Exact Solution
• The Schwarzschild's Braneworld Solution
• Black Holes and Quantumness on Macroscopic Scales
• Information-Entropic for Travelling Solitons in Lorentz and CPT Breaking Systems
• Notes on the Two-brane Model with Variable Tension
• Black holes in realistic branes: black string-like objects?

Cited by in corpus (39)

• A causal Schwarzschild-de Sitter interior solution by gravitational decoupling
• A general interior anisotropic solution for a BTZ vacuum in the context of the Minimal Geometric Deformation decoupling approach
• Gravitationally decoupled strange star model beyond standard maximum mass limit in Einstein-Gauss-Bonnet gravity
• Configurational entropy of anti-de Sitter black holes
• Conditional entropy of glueball states
• AdS/QCD duality and the quarkonia holographic information entropy
• Extended quantum portrait of MGD black holes and information entropy
• Gravitational decoupling in $2+1$ dimensional space--times with cosmological term
• Nonlocal star as a blackhole mimicker
• Regularity condition on the anisotropy induced by gravitational decoupling in the framework of MGD
• MGD-decoupled black holes, anisotropic fluids and holographic entanglement entropy
• The nuclear configurational entropy impact parameter dependence in the Color-Glass Condensate
• Fine-tuning the Color-Glass Condensate with the nuclear configurational entropy
• Pion family in AdS/QCD: the next generation from configurational entropy
• Nucleons and higher spin baryon resonances: an AdS/QCD configurational entropic incursion
• Gravitational decoupling, hairy black holes and conformal anomalies
• Information-entropic analysis of Korteweg--de Vries solitons in the quark-gluon plasma
• Gravitational decoupling of generalized Horndeski hybrid stars
• Information in AdS/QCD: mass spectroscopy of isovector mesons
• Configurational entropy of tachyon kinks on unstable Dp-branes
• Gravitational decoupling and superfluid stars
• Differential configurational entropy and the gravitational collapse of a kink
• Imprints of dark matter on the structural properties of minimally deformed compact stars
• Nuclear configurational entropy of the energy-energy correlation in $e^{+}{e}^{-}$ annihilation processes
• Holographic entanglement entropy, deformed black branes, and deconfinement in AdS/QCD
• Deploying heavier $\eta$ meson states: configurational entropy hybridizing AdS/QCD
• Configurational entropy of black hole quantum cores
• Phase transitions in the logarithmic Maxwell O(3)-sigma model
• AdS graviton stars and differential configurational entropy
• Shannon information entropy, soliton clusters and Bose-Einstein condensation in log gravity
• Average scattering entropy of quantum graphs
• Configurational Entropy of Optical Bright Similariton in Tapered Graded-Index Waveguide
• The Heisenberg spinor field classification and its interplay with the Lounesto's classification
• Bose-Einstein condensation in Hořava-Lifshitz theory
• Configurational entropy and the $N^{\ast }(1440)$ Roper resonance in QCD
• Differential configurational complexity and phase transitions of the BPS solutions in the O(3)-sigma model
• Hair imprints of the gravitational decoupling and hairy black hole spectroscopy
• Gravity and its wonders: braneworlds and holography
• Configuration entropy and instability of accelerating black hole in AdS