Effective field theory of gravity for extended objects

@article{Goldberger2006EffectiveFT,
  title={Effective field theory of gravity for extended objects},
  author={Walter D. Goldberger and Ira Z. Rothstein},
  journal={Physical Review D},
  year={2006},
  volume={73},
  pages={104029}
}
Using effective field theory (EFT) methods we present a Lagrangian formalism which describes the dynamics of nonrelativistic extended objects coupled to gravity. The formalism is relevant to understanding the gravitational radiation power spectra emitted by binary star systems, an important class of candidate signals for gravitational wave observatories such as LIGO or VIRGO. The EFT allows for a clean separation of the three relevant scales: ${r}_{s}$, the size of the compact objects, $r$, the… Expand
View PDF on arXiv
376 Citations
Highly Influential Citations
45
Background Citations
101
Methods Citations
89
Results Citations
5

376 Citations

Citation Type

Citation Type

Effective field theory for binary cosmic strings
We extend the effective field theory (EFT) formalism for gravitational radiation from a binary system of compact objects to the case of extended objects. In particular, we study the EFT for a binary… Expand
Effective field theory for gravitational radiation in scalar-tensor gravity
A light scalar degree of freedom, as the one possibly responsible for the accelerated expansion of the Universe, could leave observable traces in the inspiral gravitational wave signal of binary… Expand
Gravitational radiative corrections from effective field theory
In this paper we construct an effective field theory (EFT) that describes long wavelength gravitational radiation from compact systems. To leading order, this EFT consists of the multipole expansion,… Expand
The Lagrangian-space Effective Field Theory of Large Scale Structures
We introduce a Lagrangian-space Effective Field Theory (LEFT) formalism for the study of cosmological large scale structures. Unlike the previous Eulerian-space construction, it is naturally… Expand
An effective formalism for testing extensions to General Relativity with gravitational waves
A bstractThe recent direct observation of gravitational waves (GW) from merging black holes opens up the possibility of exploring the theory of gravity in the strong regime at an unprecedented level.… Expand
n -body problem in general relativity up to the second post-Newtonian order from perturbative field theory
Motivated by experimental probes of general relativity, we adopt methods from perturbative (quantum) field theory to compute, up to certain integrals, the effective Lagrangian for its $n$-body… Expand
Self-force on extreme mass ratio inspirals via curved spacetime effective field theory
In this series we construct an effective field theory (EFT) in curved spacetime to study gravitational radiation and backreaction effects. We begin in this paper with a derivation of the self-force… Expand
The eikonal approach to gravitational scattering and radiation at $$ \mathcal{O} $$(G3)
Abstract Using $$ \mathcal{N} $$ N = 8 supergravity as a theoretical laboratory, we extract the 3PM gravitational eikonal for two colliding massive scalars from the classical limit of the… Expand
Gravitational self-force in the ultra-relativistic limit: the “large-N ” expansion
A bstractWe study the gravitational self-force using the effective field theory formalism. We show that in the ultra-relativistic limit γ → ∞, with γ the boost factor, many simplifications arise.… Expand
Effective Field Theory Methods in Gravitational Physics and Tests of Gravity
In this PhD thesis I make use of the "Effective Field Theory of Gravity for Extended Objects" by Goldberger and Rothstein in order to investigate theories of gravity and to take a different point of… Expand
...
1
2
3
4
5
...

References

SHOWING 1-10 OF 114 REFERENCES
Gravitational radiation from compact binary systems: Gravitational waveforms and energy loss to second post-Newtonian order.
  • Will, Wiseman
  • Physics, Medicine
  • Physical review. D, Particles and fields
  • 1996
TLDR
The method cures defects that plagued previous ``brute- force'' slow-motion approaches to the generation of gravitational radiation, and yields results that agree perfectly with those recently obtained by a mixed post-Minkowskian post-Newtonian method. Expand
Ghost condensation and a consistent infrared modification of gravity
We propose a theoretically consistent modification of gravity in the infrared, which is compatible with all current experimental observations. This is an analog of the Higgs mechanism in general… Expand
Post-Newtonian gravitational radiation and equations of motion via direct integration of the relaxed Einstein equations: Foundations
We present a self-contained framework called Direct Integration of the Relaxed Einstein Equations (DIRE) for calculating equations of motion and gravitational radiation emission for isolated… Expand
Dimensional regularization of the third post-Newtonian gravitational wave generation from two point masses
Dimensional regularization is applied to the computation of the gravitational wave field generated by compact binaries at the third post-Newtonian (3PN) approximation. We generalize the wave… Expand
General relativity as an effective field theory: The leading quantum corrections.
  • Donoghue
  • Physics, Medicine
  • Physical review. D, Particles and fields
  • 1994
TLDR
The treatment of gravity is described as a quantum effective field theory that allows a natural separation of the low energy quantum effects from the high energy contributions, and the leading quantum corrections to the gravitational interaction of two heavy masses are calculated. Expand
Post-Newtonian diagnostic of quasiequilibrium binary configurations of compact objects
Using equations of motion accurate to the third post-Newtonian (3PN) order (O(v/c)^6 beyond Newtonian gravity), we derive expressions for the total energy E and angular momentum J of the orbits of… Expand
Equation of motion for relativistic compact binaries with the strong field point particle limit: The second and half post-Newtonian order
We study the equation of motion appropriate to an inspiraling binary star system whose constituent stars have strong internal gravity. We use the post-Newtonian approximation with the strong field… Expand
Post-Newtonian gravitational radiation and equations of motion via direct integration of the relaxed Einstein equations. II. Two-body equations of motion to second post-Newtonian order, and radiation-reaction to 3.5 post-Newtonian order
We derive the equations of motion for binary systems of compact bodies in the post-Newtonian (PN) approximation to general relativity. Results are given through 2PN order [order ${(v/c)}^{4}$ beyond… Expand
Energy losses by gravitational radiation in inspiraling compact binaries to 5/2 post-Newtonian order.
  • Blanchet
  • Physics, Medicine
  • Physical review. D, Particles and fields
  • 1996
TLDR
The total power or energy loss rate generated in the form of gravitational waves by an inspiraling compact binary system to the 5/2 post-Newtonian ~2.5PN! approximation of general relativity is derived. Expand
Gravitational waves from inspiraling compact binaries: Energy flux to third post-Newtonian order
The multipolar-post-Minkowskian approach to gravitational radiation is applied to the problem of the generation of waves by the compact binary inspiral. We investigate specifically the third… Expand
...
1
2
3
4
5
...