2000/08/12 by Miguel S. Costa, Malcolm J. Perry · 1 citation
Physics and Astronomy · #Astrophysical Phenomena and Observations #Black Holes and Theoretical Physics #Black brane #Black hole (networking) #Black hole thermodynamics #Black string #Classical mechanics #Cosmology and Gravitation Theories #Entropy (arrow of time) #Extremal black hole #Gravitation #Physics #Quantum mechanics #Schwarzschild radius #Theoretical physics #gr-qc #hep-th
paper · pdf · doi:10.1016/s0550-3213(00)00577-0
published as Nucl.Phys. B591 (2000) 469-487 · 22 pages, 4 figures, Latex
arxiv created 2000/08/12 · openalex publication_date 2000/12/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We revisit the geometry representing l collinear Schwarzschild black holes. It is seen that the black holes' horizons are deformed by their mutual gravitational attraction. The geometry has a string like conical singularity that connects the holes but has nevertheless a well defined action. Using standard gravitational thermodynamics techniques we determine the Free energy for two black holes at fixed temperature and distance, their entropy and mutual force. When the black holes are far apart the results agree with Newtonian gravity expectations. This analyses is generalized to the case of charged black holes. Then we consider black holes embedded in String/M-theory as bound states of branes. Using the effective string description of these bound states and for large separation we reproduce exactly the semi-classical result for the entropy, including the correction associated with the interaction between the holes.