First law and Smarr formula of black hole mechanics in nonlinear gauge theories
read the original abstract
Motivated by the fact that Bardeen black holes do not satisfy the usual first law and Smarr formula, we derive a generalized first law from the Lagrangian of nonlinear gauge field coupled to gravity. In our treatment, the Lagrangian is a function of the electromagnetic invariant as well as some additional parameters. Consequently, we obtain new terms in the first law. With our formula, we find the correct forms of the first law for Bardeen black holes and Born-Infeld black holes. By scaling arguments, we also derive a general Smarr formula from the first law. Our results apply to a wide class of black holes with nonlinear gauge fields.
This paper has not been read by Pith yet.
Forward citations
Cited by 4 Pith papers
-
Derivation of the Smarr formula from the Komar charge in Einstein-nonlinear electrodynamics theories and applications to regular black holes
Derives Smarr formula from generalized Komar charge in 4D Einstein-NLED theories by treating coupling constant as dynamical field, and analyzes thermodynamics of regular Bardeen black hole.
-
Derivation of the Smarr formula from the Komar charge in Einstein-nonlinear electrodynamics theories and applications to regular black holes
A generalized Komar charge constructed via Lagrange multiplier promotion of the coupling constant yields a Smarr formula including that constant's contribution for asymptotically flat black hole and soliton solutions ...
-
Topological Thermodynamics of Generalized Bardeen Black Hole
Generalized Bardeen black holes show two topological defects of opposite winding numbers yielding zero total charge in their thermodynamic vector field, unlike Schwarzschild's single unstable branch, with regularizati...
-
Topological Thermodynamics of Generalized Bardeen Black Hole
Topological classification via winding numbers of a vector field from generalized off-shell free energy shows regular Bardeen black holes have two opposite defects and zero total charge while Schwarzschild has one uns...
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.