Komar integrals for theories of higher order in the curvature and black-hole chemistry

Abstract

We construct Komar-type integrals for theories of gravity of higher order in the Riemann curvature coupled to simple kinds of matter (scalar and vector fields) and we use them to compute Smarr formulae for black-hole solutions in those theories. The equivalence between f(R) and Brans-Dicke theories is used to argue that the dimensionful parameters that appear in scalar potentials must be interpreted as thermodynamical variables ("pressures") and we give a general expression for their conjugate potentials ("volumes"}.

arXiv commentSome misprints corrected

References in corpus (23)

• f(R) Theories Of Gravity
• Black Hole Entropy is Noether Charge
• Some Properties of Noether Charge and a Proposal for Dynamical Black Hole Entropy
• Enthalpy and the Mechanics of AdS Black Holes
• Black hole chemistry: thermodynamics with Lambda
• Extended phase space thermodynamics for charged and rotating black holes and Born-Infeld vacuum polarization
• New Formulations of D=10 Supersymmetry and D8-O8 Domain Walls
• Moduli, Scalar Charges, and the First Law of Black Hole Thermodynamics
• Smarr Formula and an Extended First Law for Lovelock Gravity
• Mechanical First Law of Black Hole Spacetimes with Cosmological Constant and Its Application to Schwarzschild-de Sitter Spacetime
• Gauged Supergravities
• Dilaton Black Holes in de Sitter or Anti-de Sitter Universe
• Aspects of general higher-order gravities
• Komar Integrals in Higher (and Lower) Derivative Gravity
• Gauge Theories, Duality Relations and the Tensor Hierarchy
• Higher Dimensional Dilaton Black Holes with Cosmological Constant
• Some aspects of field equations in generalised theories of gravity
• Scalar charges and the first law of black hole thermodynamics
• The first law and Wald entropy formula of heterotic stringy black holes at first order in alpha prime
• Smarr Formula for Lovelock Black Holes: a Lagrangian approach
• Black Hole Enthalpy and Scalar Fields
• The first law of heterotic stringy black hole mechanics at zeroth order in alpha prime
• Tensor Hierarchies of 5- and 6-Dimensional Field Theories

Cited by in corpus (13)

• Semi-classical thermodynamics of quantum extremal surfaces in Jackiw-Teitelboim gravity
• String gravity in $D=4$
• Black Hole Multipoles in Higher-Derivative Gravity
• Magnetic charges and Wald entropy
• On scalar charges and black-hole thermodynamics
• Black hole chemistry, the cosmological constant and the embedding tensor
• Boundary terms and conserved charges in higher-derivative gauged supergravity
• The extremal Kerr entropy in higher-derivative gravities
• Non-extremal, ${\alpha }^{\prime }$-corrected black holes in 5-dimensional Heterotic Superstring Theory
• Non-closed scalar charge in four-dimensional Einstein-scalar-Gauss-Bonnet black hole thermodynamics
• On the interactions and equilibrium between Einstein-Maxwell-Dilaton black holes
• A note on the Noether-Wald and generalized Komar charges
• Extended symmetry of the Maxwell theory with a gauge coupling constant as a conserved charge