scholarly journals Holographic renormalization group flow dual to attractor flow in extremal black holes

2009 ◽  
Vol 79 (10) ◽  
Author(s):  
Kyosuke Hotta
Keyword(s):  
Black Holes ◽  
Renormalization Group ◽  
Renormalization Group Flow ◽  
Holographic Renormalization ◽  
Group Flow ◽  
Extremal Black Holes

scholarly journals Towards the Structure of Black Holes in Asymptotically Safe Gravity

2018 ◽  
Author(s):  
Adémólá Adéìféoba
Keyword(s):  
Black Holes ◽  
Fixed Point ◽  
Renormalization Group ◽  
Cosmological Constant ◽  
Critical Exponents ◽  
De Sitter ◽  
Renormalization Group Flow ◽  
Spacetime Singularity ◽  
Singularity Resolution ◽  
Group Flow

Asymptotically safe quantum gravity suggests a resolution to the classical spacetime singularity of Schwarzschild-(A)dS black holes. In particular, this is realizable only for a vanishing microscopic value of the dimensionless cosmological constant at the asymptotically safe fixed point. To accommodate a nonzero infrared value of the cosmological constant, we consider the linearized Renormalization Group flow away from the fixed point, which is characterized by two critical exponents in the Einstein-Hilbert truncation. In this study, we show that the realization of a regular de-Sitter core places a bound on the universal gravitational critical exponents. Accordingly, our study hints at the possibility of singularity resolution in black holes, as explicit estimates of the critical exponents in the literature point towards a realization of our bound.

scholarly journals Ruppeiner curvature along a renormalization group flow

2021 ◽  
pp. 136450
Author(s):  
Pavan Kumar Yerra ◽  
Chandrasekhar Bhamidipati
Keyword(s):  
Renormalization Group ◽  
Renormalization Group Flow ◽  
Group Flow
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