Extreme Mass Ratio Inspirals with Scalar Hair. (arXiv:2004.10772v2 [gr-qc] UPDATED)

<a href="http://arxiv.org/find/gr-qc/1/au:+Kuntz_A/0/1/0/all/0/1">Adrien Kuntz</a>, <a href="http://arxiv.org/find/gr-qc/1/au:+Penco_R/0/1/0/all/0/1">Riccardo Penco</a>, <a href="http://arxiv.org/find/gr-qc/1/au:+Piazza_F/0/1/0/all/0/1">Federico Piazza</a>

Stellar mass objects orbiting around supermassive black holes are primary

targets for future gravitational wave detectors like LISA. However, in theories

beyond general relativity, the corresponding waveform templates are still

relatively poorly known. We propose a universal description for these systems

which applies to any black hole with a non trivial scalar profile, or scalar

hair. To this aim, we use the effective field theory recently introduced by

Franciolini et al. to write the most general action for the perturbations of a

spherically symmetric solution up to some given order in derivatives and/or

number of fields. At any post-Newtonian order, the background metric and the

relevant operators can be encoded in a limited number of parameters which are

readily calculated in some given scalar tensor model, as we show with a couple

of examples. In terms of such parameters, we obtain an analytic expression for

the dissipated power in the odd sector by solving perturbatively the

Regge-Wheeler equation in the presence of a point-particle source.

Stellar mass objects orbiting around supermassive black holes are primary

targets for future gravitational wave detectors like LISA. However, in theories

beyond general relativity, the corresponding waveform templates are still

relatively poorly known. We propose a universal description for these systems

which applies to any black hole with a non trivial scalar profile, or scalar

hair. To this aim, we use the effective field theory recently introduced by

Franciolini et al. to write the most general action for the perturbations of a

spherically symmetric solution up to some given order in derivatives and/or

number of fields. At any post-Newtonian order, the background metric and the

relevant operators can be encoded in a limited number of parameters which are

readily calculated in some given scalar tensor model, as we show with a couple

of examples. In terms of such parameters, we obtain an analytic expression for

the dissipated power in the odd sector by solving perturbatively the

Regge-Wheeler equation in the presence of a point-particle source.

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