Dissipative effects in the worldline approach to black hole dynamics

By Walter D. Goldberger, I. Rothstein. 2005

186 citations recorded by the source corpus.

We derive a long wavelength effective point-particle description of four-dimensional Schwarzschild black holes. In this effective theory, absorptive effects are incorporated by introducing degrees of freedom localized on the worldline that mimic the interaction between the horizon and bulk fields. The correlation functions of composite operators in this worldline theory can be obtained by standard matching calculations. For example, we obtain the low frequency two-point function of multipole worldline operators by relating them to the long wavelength graviton black hole absorptive cross section. The effective theory is then used to predict the leading effects of absorption in several astrophysically motivated examples, including the dynamics of nonrelativistic black hole binary inspirals and the motion of a small black hole in an arbitrary background geometry. Our results can be written compactly in terms of absorption cross sections, and can be easily applied to the dissipative dynamics of any compact object, e.g. neutron stars. The relation of our methodology to that developed in the context of the AdS/CFT correspondence is discussed.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/b9adc80a2cab7a05dc4a4333d2fc0f0193498179

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Citations in the corpus

The Effective Field Theorist's Approach to Gravitational Dynamics (2016, methodology): “From here, and using the invariance under Eij → −Bij , Bij → Eij of the linearized perturbations, we obtain [26, 27] σ abs(ω) = ω(3) 2M2 Pl Imf̃(ω) , (7.”
Les Houches lectures on effective field theories and gravitational radiation (2007, background): “zerospin, and the inclusion of spin tends to enhance ﬁnite size effects [25]. A lso, absorption by the black hole horizon, which necessitates the introduction of additional worldline modes in the EFT [30] arises at order v8 for non-spinningblack holes [31] and at order v5 [32] when the black hole ha”
Non-relativistic gravitation: from Newton to Einstein and back (2007, background): “In 2004 Goldberger and Rothstein [1] (see also [14] and a pedagogical introduction in [15]) pioneered an effective field theory approach to this problem.”
The Lagrangian-space Effective Field Theory of large scale structures (2013, methodology): “6 In section 5 we will derive the same equations from an action approach, following related ideas developed in [29, 30, 31, 32, 33] in the context of gravitational wave emission from binaries.”
Probing ultralight bosons with binary black holes (2018, methodology): “13 At this order, we thus have Using these results, and considering higher harmonics, it is straightforward to find the corrected gravitational dynamics in the nonrelativistic limit.”
Black hole stereotyping: induced gravito-static polarization (2011, background): “:= Sbulk[g] + SBH [x , eμA;Qint; g] This definition means that the effective theory is built such that its effective action for a point particle in a given background, is identical with the same effective action in the full (6)[4] did not list the internal degrees of freedom as they appear here – th”
Dynamical Tides in General Relativity: Effective Action and Effective-One-Body Hamiltonian (2016, background): “[71] and given by ∼ ∫ dσEμνQ μν , with the relativistic tidal field Eμν defined in terms of the spacetime curvature in Eq.”
Static response and Love numbers of Schwarzschild black holes (2020, methodology): “Specifically, at distances large compared to the Schwarzschild radius of the black hole, it can be described as a point particle in effective field theory [62, 63].”
Post-Minkowskian effective field theory for conservative binary dynamics (2020, unknown): “g [32–36].”
From boundary data to bound states (2019, unknown): “We will study radiation-reaction in more detail, as well as absorption effects [90, 91], in future work.”
Tabletop experiments for quantum gravity: a user’s manual (2018, background): “See for example [57,58] for some classical EFT treatments in gravity along these lines.”
Spinning gravitating objects in the effective field theory in the post-Newtonian scheme (2015, background): “This is analogous to resonances in EFTs in particle physics [46], and was overlooked in [12, 42].”