Higher-derivative Heterotic Kerr-Sen Black Holes

Abstract

We obtain the four-derivative corrections to the Kerr-Sen solution in heterotic supergravity, which includes the Gibbons-Maeda-Garfinkle-Horowitz-Strominger solution as a limiting case. In particular, we first embed the Kerr solution into heterotic supergravity and compute the higher-derivative corrections. We then obtain the corrections to the Kerr-Sen solution by performing an $O(2,1)$ boost of the Kerr solution, which, in contrast to the two-derivative case, requires field redefinitions to make the $O(2,1)$ invariance of the action manifest. Finally, we compute the multipole moments and find that they are distinct from those of the Kerr solution at the four-derivative level. We also find that the multipole moments are distinct from those of the Kerr-Newman solution in Einstein-Maxwell theory at the four-derivative level, even for the most general choice of four-derivative corrections. This gives a way to experimentally distinguish traces of string theory in gravitational wave data.

47 pages, 1 figure; Mathematica file included

References in corpus (19)

• Double Field Theory
• Dynamical Chern-Simons Modified Gravity I: Spinning Black Holes in the Slow-Rotation Approximation
• Using LISA EMRI sources to test off-Kerr deviations in the geometry of massive black holes
• Are black holes in alternative theories serious astrophysical candidates? The case for Einstein-Dilaton-Gauss-Bonnet black holes
• Testing the black hole "no-hair" hypothesis
• Double Field Theory Formulation of Heterotic Strings
• Einstein and Jordan frames reconciled: a frame-invariant approach to scalar-tensor cosmology
• Double Field Theory at Order ${\alpha }^{\prime }$
• Heterotic Effective Action and Duality Symmetries Revisited
• Heterotic $\alpha$'-corrections in Double Field Theory
• Effective action of type II superstring theories at order ${\alpha }^{\prime 3}$: NS-NS couplings
• Recurrent Acceleration in Dilaton-Axion Cosmology
• Constraining pre Big-Bang-Nucleosynthesis Expansion using Cosmic Antiprotons
• O(D,D) and the string ${\alpha }^{\prime }$ expansion: An obstruction
• Four-derivative couplings via T-duality constraint
• Observational signature of a near-extremal Kerr-Sen black hole in the heterotic string theory
• Uniqueness Theorem for Stationary Axisymmetric Black Holes in Einstein-Maxwell-axion-dilaton Gravity
• Axion-Dilaton Cosmology and Dark Energy
• The extremal Kerr entropy in higher-derivative gravities

Cited by in corpus (2)

• What U Can Do: New Solutions and New Challenges Beyond Leading Order
• Symmetries of non-maximal supergravities with higher-derivative corrections