Abstract
The effective field theory of quantum gravity generically predicts non-locality to be present in the effective action, which results from the low-energy propagation of gravitons and massless matter. Working to second order in gravitational curvature, we reconsider the effects of quantum gravity on the gravitational radiation emitted from a binary system. In particular, we calculate for the first time the leading order quantum gravitational correction to the classical quadrupole radiation formula which appears at second order in Newton’s constant.
Highlights
The aim of this work is to extend the study of quantum gravitational corrections to gravitational radiation initiated in [1,2] using effective theory techniques to treat quantum gravity in a model independent way
We expand on the previous analyses and calculate for the first time the genuine quantum gravitational correction to the quadrupole radiation formula first developed by Einstein
In this paper we worked within the effective theory approach to quantum gravity which enables model independent calculations at energies below the Planck mass
Summary
The aim of this work is to extend the study of quantum gravitational corrections to gravitational radiation initiated in [1,2] using effective theory techniques to treat quantum gravity in a model independent way. We look for small corrections to the lowest-order general relativity result, i.e. quadrupole radiation, and solve the equations of motion by iteration. This is the genuine quantum gravitational correction discussed early and the main new result of this paper. All our analysis is performed on the linear weak-field level, but general relativity and the associated quantum corrections are inherently non-linear. This distinction is crucial when one deviates from pure general relativity It was shown in [15] that an eternal Schwarzschild black hole is a solution to the full non-linear quantum corrected theory. A careful derivation of the non-local kernel used in Sect. 5 is laid out in an appendix
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