Off-shell Noether current and conserved charge in Horndeski theory

Abstract

We derive the off-shell Noether current and potential in the context of Horndeski theory, which is the most general scalar-tensor theory with a Lagrangian containing derivatives up to second order while yielding at most to second-order equations of motion in four dimensions. Then the formulation of conserved charges is proposed on basis of the off-shell Noether potential and the surface term got from the variation of the Lagrangian. As an application, we calculate the conserved charges of black holes in a scalar-tensor theory with non-minimal coupling between derivatives of the scalar field and the Einstein tensor.

19 pages, no figures, to appear in PLB

References in corpus (11)

• Covariant Galileon
• Surface charge algebra in gauge theories and thermodynamic integrability
• Black holes with non-minimal derivative coupling
• Asymptotically locally AdS and flat black holes in the presence of an electric field in the Horndeski scenario
• Thermodynamics of a BTZ black hole solution with an Horndeski source
• Quasi-local conserved charges and holography
• Black hole conserved charges in Generalized Minimal Massive Gravity
• Thermodynamics of static dyonic AdS black holes in the $\omega$-deformed Kaluza-Klein gauged supergravity theory
• Thermodynamics of charged Lifshitz black holes with quadratic corrections
• Conserved charges of black holes in Weyl and Einstein-Gauss-Bonnet gravities
• Frame-independent holographic conserved charges

Cited by in corpus (14)

• Slowly rotating neutron stars in the nonminimal derivative coupling sector of Horndeski gravity
• Thermodynamics of Charged Black Holes in Einstein-Horndeski-Maxwell Theory
• Lower-dimensional Gauss-Bonnet Gravity and BTZ Black Holes
• Dyonic (A)dS Black Holes in Einstein-Born-Infeld Theory in Diverse Dimensions
• Rotating Gauss-Bonnet BTZ Black Holes
• AdS and Lifshitz black hole solutions in conformal gravity sourced with a scalar field
• Mass and angular momentum of black holes in low-energy heterotic string theory
• Quartic Horndeski, planar black holes, holographic aspects and universal bounds
• Covariant conserved currents for scalar-tensor Horndeski theory
• Canonical energy and hairy AdS black holes
• Microscopic entropy of static black holes in 3d Lovelock gravities
• Conserved charge of a gravity theory with $p$-form gauge fields and its property under Kaluza-Klein reduction
• Generalized Off-Shell ADT Conserved Charges in the Presence of Matter Chern-Simons Term
• Mass and angular momentum of charged rotating Gödel black holes in five-dimensional minimal supergravity