Lovelock type gravity and small black holes in heterotic string theory

2005/11/30 by Predrag Prester · 41 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Black brane #Black hole (networking) #Black hole thermodynamics #Cosmology and Gravitation Theories #Entropy (arrow of time) #Heterotic string theory #Horizon #Noncommutative and Quantum Gravity Theories #String duality #Type (biology) #hep-th

paper · pdf · doi:10.1088/1126-6708/2006/02/039

published in Journal of High Energy Physics 2006(02), 039 (Springer Nature) · 14 pages, JHEP style

arxiv created 2005/11/30 · openalex publication_date 2006/02/15 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

We analyze near horizon behavior of small D-dimensional 2-charge black holes by modifying tree level effective action of heterotic string with all extended Gauss-Bonnet densities. We show that there is a nontrivial and unique choice of parameters, independent of D, for which the black hole entropy in any dimension is given by 4π√(nw), which is exactly the statistical entropy of 1/2-BPS states of heterotic string compactified on T^9-D× S¹ with momentum n and winding w. This extends the results of Sen [JHEP 0507 (2005) 073] to all dimensions. We also show that our Lovelock type action belongs to the more general class of actions sharing the simmilar behaviour on the AdS₂× S^D-2 near horizon geometry.

Citations

• Black hole entropy function and the attractor mechanism in higher derivative gravity
• The Four-Dimensionality of Space and the Einstein Tensor
• The black hole interpretation of string theory
• A Stringy Cloak for a Classical Singularity

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