Mass and angular momentum of black holes in low-energy heterotic string theory

Abstract

We investigate conserved charges in the low-energy effective field theory describing heterotic string theory. Starting with a general Lagrangian that consists of a metric, a scalar field, a vector gauge field, together with a two-form potential, we derive off-shell Noether potentials of the Lagrangian and generalize the Abbott-Deser-Tekin (ADT) formalism to the off-shell level by establishing one-to-one correspondence between the ADT potential and the off-shell Noether potential. It is proved that the off-shell generalized ADT formalism is conformally invariant. Then we apply the formulation to compute mass and angular momentum of the four-dimensional Kerr-Sen black hole and the five-dimensional rotating charged black string in the string frame without a necessity to transform the metrics into the Einstein frame.

18 pages, no figures

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Cited by in corpus (9)

• Dyonic (A)dS Black Holes in Einstein-Born-Infeld Theory in Diverse Dimensions
• Accelerating black holes in the low energy heterotic string theory
• Kerr-Sen-Taub-NUT spacetime and circular geodesics
• Pair production of scalars around near-extremal Kerr-Sen black holes
• A Komar-like integral for mass and angular momentum of asymptotically AdS black holes in Einstein gravity
• A note on the mass of Kerr-AdS black holes in the off-shell generalized ADT formalism
• 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