Configurational entropy and instability of tachyonic braneworld

Abstract

We consider tachyonic braneworld with a bulk cosmological constant and investigate a configurational entropy of various magnitudes of scale factor. It is found that for a bulk negative/zero cosmological constant, the configurational entropy has a global minimum when the magnitude of scale factor reaches the critical value. This result seems to have intriguing implications such that an accelerated rate of the universe and cosmological inflation rate for radiation/matter domination are able to be determined by such critical value. We also find that the configurational entropy almost monotonically decreases for a bulk positive cosmological constant as the magnitude of scale factor grows up. We find an exact solution of tachyonic braneworld in a bulk de Sitter space. It is shown that such system under scalar perturbations is stable for some constraint relation. Furthermore, we also find that tachyonic braneworld model with a bulk negative/zero cosmological constant is always stable under scalar perturbations.

Configuration entropy and instability of accelerating black hole in AdS

“…The CE has suggested that the informational content in physical systems with localized energy density configurations through measure of their ordering in field configuration space [12,13]. It has been extensively investigated for AdS/QCD holographic models [14][15][16][17][18][19][20][21][22][23][24] and performed for a detailed analysis of the thermal stability of a variety of physical systems [13][14][15][20][21][22][23][24][25][26][27][28][29][30][31][32][33][34][35][36]. Thus, it is intriguing that the issue of the stability is generalized to the accelerating BH with the negative cosmological constant in four-dimensional spacetime.…”