The 5-D Choptuik critical exponent and holography

Abstract

Recently, a holographic argument was used to relate the saturation exponent, ${\gamma }_{BFKL}$, of four-dimensional Yang-Mills theory in the Regge limit to the Choptuik critical scaling exponent, ${\gamma }_{5d}$, in 5-dimensional black hole formation via scalar field collapse \cite{alvarez-gaume}. Remarkably, the numerical value of the former agreed quite well with previous calculations of the latter. We present new results of an improved calculation of ${\gamma }_{5d}$ with substantially decreased numerical error. Our current result is ${\gamma }_{5d}=0.4131\pm 0.0001$, which is close to, but not in strict agreement with, the value of ${\gamma }_{BFKL}=0.409552$ quoted in \cite{alvarez-gaume}.

11 pagers, 2 figures

References in corpus (8)

• Numerical Relativity: A review
• Critical phenomena in gravitational collapse (Physics Reports)
• Choptuik scaling in null coordinates
• Scalar field collapse in three-dimensional AdS spacetime
• On Choptuik's scaling in higher dimensions
• Anti-deSitter gravitational collapse
• Dimension-Dependence of the Critical Exponent in Spherically Symmetric Gravitational Collapse
• Spherically symmetric scalar field collapse in any dimension

Cited by in corpus (7)

• Stability of AdS in Einstein Gauss Bonnet Gravity
• Critical gravitational collapse: towards a holographic understanding of the Regge region
• Moving Closer to the Collapse of a Massless Scalar Field in Spherically Symmetric Anti-de Sitter Spacetimes
• Critical scalar field collapse in AdS_3: an analytic approach
• Holographic Signatures of Critical Collapse
• Numerical thermodynamic studies of classical gravitational collapse in 3+1 and 4+1 dimensions
• Critical spacetime crystals in continuous dimensions