A Caltech Library Service

Post-Newtonian, quasicircular binary inspirals in quadratic modified gravity

Yagi, Kent and Stein, Leo C. and Yunes, Nicolás and Tanaka, Takahiro (2012) Post-Newtonian, quasicircular binary inspirals in quadratic modified gravity. Physical Review D, 85 (6). Art. No. 064022. ISSN 1550-7998.

[img] PDF - Published Version
See Usage Policy.

[img] PDF - Erratum
See Usage Policy.

[img] PDF - Submitted Version
See Usage Policy.


Use this Persistent URL to link to this item:


We consider a general class of quantum gravity-inspired, modified gravity theories, where the Einstein-Hilbert action is extended through the addition of all terms quadratic in the curvature tensor coupled to scalar fields with standard kinetic energy. This class of theories includes Einstein-Dilaton-Gauss-Bonnet and Chern-Simons modified gravity as special cases. We analytically derive and solve the coupled field equations in the post-Newtonian approximation, assuming a comparable-mass, spinning black hole binary source in a quasicircular, weak-field/slow-motion orbit. We find that a naive subtraction of divergent piece associated with the point-particle approximation is ill-suited to represent compact objects in these theories. Instead, we model them by appropriate effective sources built so that known strong-field solutions are reproduced in the far-field limit. In doing so, we prove that black holes in Einstein-Dilaton-Gauss-Bonnet and Chern-Simons theory can have hair, while neutron stars have no scalar monopole charge, in diametrical opposition to results in scalar-tensor theories. We then employ techniques similar to the direct integration of the relaxed Einstein equations to obtain analytic expressions for the scalar field, metric perturbation, and the associated gravitational wave luminosity measured at infinity. We find that scalar field emission mainly dominates the energy flux budget, sourcing electric-type (even-parity) dipole scalar radiation and magnetic-type (odd-parity) quadrupole scalar radiation, correcting the General Relativistic prediction at relative −1PN and 2PN orders. Such modifications lead to corrections in the emitted gravitational waves that can be mapped to the parameterized post-Einsteinian framework. Such modifications could be strongly constrained with gravitational wave observations.

Item Type:Article
Related URLs:
URLURL TypeDescription DOIArticle Paper
Stein, Leo C.0000-0001-7559-9597
Yunes, Nicolás0000-0001-6147-1736
Alternate Title:Post-Newtonian, Quasi-Circular Binary Inspirals in Quadratic Modified Gravity
Additional Information:© 2012 American Physical Society. Received 26 October 2011; published 19 March 2012. We would like to thank Cliff Will, Eric Poisson, and Luc Blanchet for invaluable teachings regarding the PN approximation. We also acknowledge Richard O’Shaughnessy, Yanbei Chen, Yacine Ali-Haïmoud, and Misao Sasaki for useful comments on the manuscript, and Paolo Pani, Vitor Cardoso, and Leonardo Gualtieri for making some of their data accessible to us. N. Y. thanks the Yukawa Institute for Theoretical Physics for their hospitality. K. Y. is supported by the Japan Society for the Promotion of Science (JSPS) Grant No. 22.900. L. C. S. acknowledges support from NSF Grant No. PHY-0449884 and from MIT’s Solomon Buchsbaum fund. N. Y. acknowledges support from NSF Grant No. PHY-1114374, as well as support provided by the National Aeronautics and Space Administration through Einstein Postdoctoral Fellowship Award Number No. PF0-110080, issued by the Chandra X-ray Observatory Center, which is operated by the Smithsonian Astrophysical Observatory for and on behalf of the National Aeronautics Space Administration under Contract No. NAS8-03060. N. Y. also acknowledges support from NASA Grant No. NNX11AI49G, subaward 00001944. T. T. is supported by the Grant-in-Aid for Scientific Research (Nos. 21244033, 21111006, and 22111507. This work is also supported in part by the Grant-in-Aid for the Global COE Program “The Next Generation of Physics, Spun from Universality and Emergence” from the Ministry of Education, Culture, Sports, Science and Technology (MEXT) of Japan.
Group:Walter Burke Institute for Theoretical Physics
Funding AgencyGrant Number
Japan Society for the Promotion of Science (JSPS)22.900
Massachusetts Institute of Technology (MIT)UNSPECIFIED
NASA Einstein Fellowship ProgramPF0-110080
Japan Society for the Promotion of Science (JSPS)21244033
Japan Society for the Promotion of Science (JSPS)21111006
Japan Society for the Promotion of Science (JSPS)22111507
Ministry of Education, Culture, Sports, Science and Technology (MEXT)UNSPECIFIED
Issue or Number:6
Classification Code:PACS numbers: 04.30.Db, 04.25.Nx, 04.50.Kd
Record Number:CaltechAUTHORS:20160211-101227726
Persistent URL:
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:64417
Deposited By: Tony Diaz
Deposited On:19 Feb 2016 01:00
Last Modified:09 Mar 2020 13:19

Repository Staff Only: item control page