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 E\"otv\"os 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.
Highlights
Several aspects of black hole physics have been recently studied, by considering black holes as Bose–Einstein condensates (BEC) of a large number N of weakly interacting, long-wavelength, gravitons close to a critical point [1,2,3]
Studying a Minimal Geometric Deformation (MGD) BEC in a Eötvös brane-world scenario provides a strict bound for the brane tension σ 3.18 × 106 MeV4, which is stronger than the bound determined by the study of cosmological nucleosynthesis
Analysing the graviton BEC MGD black hole shows that it is important to take into account quantum effects at the stability critical point, even for a macroscopic number of particles
Summary
Several aspects of black hole physics have been recently studied, by considering black holes as Bose–Einstein condensates (BEC) of a large number N of weakly interacting, long-wavelength, gravitons close to a critical point [1,2,3]. The energy density is the main ingredient to compute the information entropy In this framework, the critical stable density of a BEC MGD black hole will be here studied, by relating the stellar distribution conditional entropy and its central critical density.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.