Effective field theory of black hole quasinormal modes in scalar-tensor theories

Franciolini, Gabriele; Hui, Lam; Penco, Riccardo; Santoni, Luca; Trincherini, Enrico

doi:10.1007/jhep02(2019)127

Title: Effective field theory of black hole quasinormal modes in scalar-tensor theories

Journal Article · Wed Feb 20 00:00:00 EST 2019 · Journal of High Energy Physics (Online)

DOI:https://doi.org/10.1007/jhep02(2019)127· OSTI ID:1612000

Franciolini, Gabriele ^[1]; Hui, Lam ^[2]; Penco, Riccardo ^[3];

^[4]; Trincherini, Enrico ^[5]

Center for Astroparticle Physics (CAP), Geneva (Switzerland)
Columbia Univ., New York, NY (United States)
Carnegie Mellon Univ., Pittsburgh, PA (United States)
Univ. of Utrecht (Netherlands)
Scuola Normale Superiore, Pisa (Italy); Istituto Nazionale di Fisica Nucleare (INFN), Pisa (Italy)

The final ringdown phase in a coalescence process is a valuable laboratory to test General Relativity and potentially constrain additional degrees of freedom in the gravitational sector. We introduce here an effective description for perturbations around spherically symmetric spacetimes in the context of scalar-tensor theories, which we apply to study quasi-normal modes for black holes with scalar hair. We derive the equations of motion governing the dynamics of both the polar and the axial modes in terms of the coefficients of the effective theory. Assuming the deviation of the background from Schwarzschild is small, we use the WKB method to introduce the notion of “light ring expansion”. This approximation is analogous to the slow-roll expansion used for inflation, and it allows us to express the quasinormal mode spectrum in terms of a small number of parameters. This work is a first step in describing, in a model independent way, how the scalar hair can affect the ringdown stage and leave signatures on the emitted gravitational wave signal. Potential signatures include the shifting of the quasi-normal spectrum, the breaking of isospectrality between polar and axial modes, and the existence of scalar radiation.

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Research Organization:: Univ. of Pennsylvania, Philadelphia, PA (United States)

Sponsoring Organization:: USDOE Office of Science (SC), High Energy Physics (HEP); Netherlands organization for scientifi c research (NWO); National Aeronautics and Space Administration (NASA)

Grant/Contract Number:: SC0013528; NXX16AB27G; SC0011941

OSTI ID:: 1612000

Journal Information:: Journal of High Energy Physics (Online), Vol. 2019, Issue 2; ISSN 1029-8479

Publisher:: Springer BerlinCopyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 41 works

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