First Law of Black Rings Thermodynamics in Higher Dimensional Dilaton Gravity with p + 1 Strength Forms

Abstract

We derive the first law of black rings thermodynamics in n-dimensional Einstein dilaton gravity with additional (p+1)-form field strength being the simplest generalization of five-dimensional theory containing a stationary black ring solution with dipole charge. It was done by means of choosing any cross section of the event horizon to the future of the bifurcation surface.

6 pages, to be published in Phys.Rev.D15

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Cited by in corpus (14)

• Symmetries and conservation laws in Lagrangian gauge theories with applications to the mechanics of black holes and to gravity in three dimensions
• Note on the First Law with p-form potentials
• Dilaton black holes with squashed horizons and their thermodynamics
• The first law of heterotic stringy black hole mechanics at zeroth order in alpha prime
• Uniqueness theorem for stationary black ring solution of $\sigma$-models in five dimensions
• Generating dyonic solutions in 5D Einstein-dilaton gravity with antisymmetric forms and dyonic black rings
• First Law of Black Rings Thermodynamics in Higher Dimensional Chern-Simons Gravity
• On Black Ring with a Positive Cosmological Constant
• First Law of Black Saturn Thermodynamics
• Isolated horizons, p-form matter fields, topology and the black-hole/string correspondence principle
• Conserved charge of a gravity theory with $p$-form gauge fields and its property under Kaluza-Klein reduction
• First Law of p-brane Thermodynamics
• Dark matter influence on black hole objects thermodynamics
• DC conductivities and Stokes flows in Dirac semimetals