Journal of High Energy Physics

, Volume 2015, Issue 12, pp 1–19 | Cite as

Brown-York quasilocal energy in Lanczos-Lovelock gravity and black hole horizons

  • Sumanta Chakraborty
  • Naresh Dadhich
Open Access
Regular Article - Theoretical Physics


A standard candidate for quasilocal energy in general relativity is the Brown-York energy, which is essentially a two dimensional surface integral of the extrinsic curvature on the two-boundary of a spacelike hypersurface referenced to flat spacetime. Several years back one of us had conjectured that the black hole horizon is defined by equipartition of gravitational and non-gravitational energy. By employing the above definition of quasilocal Brown-York energy, we have verified the equipartition conjecture for static charged and charged axi-symmetric black holes in general relativity. We have further generalized the Brown-York formalism to all orders in Lanczos-Lovelock theories of gravity and have verified the conjecture for pure Lovelock charged black hole in all even d = 2m + 2 dimensions, where m is the degree of Lovelock action. It turns out that the equipartition conjecture works only for pure Lovelock, and not for Einstein-Lovelock black holes.


Classical Theories of Gravity Black Holes 


Open Access

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Copyright information

© The Author(s) 2015

Authors and Affiliations

  1. 1.IUCAAPuneIndia
  2. 2.Center for Theoretical Physics, Jamia Millia IslamiaNew DelhiIndia

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