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"}.

Some misprints corrected

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• Aspects of general higher-order gravities
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• Gauge Theories, Duality Relations and the Tensor Hierarchy
• The first law and Wald entropy formula of heterotic stringy black holes at first order in alpha prime
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Cited by in corpus (13)

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• Black Hole Multipoles in Higher-Derivative Gravity
• Magnetic charges and Wald entropy
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• 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