Develops modified Teukolsky formalism for EMRIs in higher-derivative gravity and computes horizon and infinity fluxes for cubic gravity example.
On the hyperbolicity of the most general Horndeski theory
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abstract
In this paper we study the hyperbolicity of the equations of motion for the most general Horndeski theory of gravity in a generic "weak field" background. We first show that a special case of this theory, namely Einstein-dilaton-Gauss-Bonnet gravity, fails to be strongly hyperbolic in any generalised harmonic gauge. We then complete the proof that the most general Horndeski theory which, for weak fields, is strongly hyperbolic in a generalised harmonic gauge is simply a "k-essence" theory coupled to Einstein gravity and that adding any more general Horndeski term will result in a weakly, but not strongly, hyperbolic theory.
fields
gr-qc 2years
2026 2representative citing papers
Charged Bardeen and Hayward metrics become singular under deformed Einstein–Maxwell equations; more stringent regularity conditions are derived and improved regular charged metrics are constructed.
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Modified Teukolsky Formalism for Extreme Mass-Ratio Inspirals in Higher-Derivative Gravity
Develops modified Teukolsky formalism for EMRIs in higher-derivative gravity and computes horizon and infinity fluxes for cubic gravity example.
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Charging up regular black holes
Charged Bardeen and Hayward metrics become singular under deformed Einstein–Maxwell equations; more stringent regularity conditions are derived and improved regular charged metrics are constructed.