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Abstract
Energymomentum conservation requires the associated gravitational fluxes on an asymptotically flat spacetime to scale as 1/r2, as r→, where r is the distance between the observer and the source of the gravitational waves. We expand the equations of motion for the DeserWoodard nonlocal gravity model up to quadratic order in metric perturbations, to compute its gravitational energymomentum flux due to an isolated system. The contributions from the nonlocal sector contains 1/r terms proportional to the acceleration of the Newtonian energy of the system, indicating such nonlocal gravity models may not yield welldefined energy fluxes at infinity. In the case of the DeserWoodard model, this divergent flux can be avoided by requiring the first and second derivatives of the nonlocal distortion function f[X] at X=0 to be zero, i.e., f′[0]=0=f′′[0]. It would be interesting to investigate whether other classes of nonlocal models not involving such an arbitrary function can avoid divergent fluxes.
Original language  English 

Article number  044052 
Journal  Physical Review D 
Volume  99 
Issue number  4 
DOIs  
State  Published  15 Feb 2019 
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Dive into the research topics of 'Does nonlocal gravity yield divergent gravitational energymomentum fluxes?'. Together they form a unique fingerprint.Projects
 1 Finished

Gravitational Waves and Their Causal Structure in Cosmology and Black Hole Spacetimes(2/3)
Chu, Y.Z. (PI)
1/11/18 → 31/10/19
Project: Research