Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2009-04-17
Class.Quant.Grav.26:195011,2009
Physics
High Energy Physics
High Energy Physics - Theory
21 pages; v2 references added
Scientific paper
10.1088/0264-9381/26/19/195011
We present geometric derivations of the Smarr formula for static AdS black holes and an expanded first law that includes variations in the cosmological constant. These two results are further related by a scaling argument based on Euler's theorem. The key new ingredient in the constructions is a two-form potential for the static Killing field. Surface integrals of the Killing potential determine the coefficient of the variation of the cosmological constant in the first law. This coefficient is proportional to a finite, effective volume for the region outside the AdS black hole horizon, which can also be interpreted as minus the volume excluded from a spatial slice by the black hole horizon. This effective volume also contributes to the Smarr formula. Since the cosmological constant is naturally thought of as a pressure, the new term in the first law has the form of effective volume times change in pressure that arises in the variation of the enthalpy in classical thermodynamics. This and related arguments suggest that the mass of an AdS black hole should be interpreted as the enthalpy of the spacetime.
Kastor David
Ray Sourya
Traschen Jennie
No associations
LandOfFree
Enthalpy and the Mechanics of AdS Black Holes does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Enthalpy and the Mechanics of AdS Black Holes, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Enthalpy and the Mechanics of AdS Black Holes will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-141955