For the nonlocal action R + aR□^{-1}R, the quadrupole GW luminosity becomes (G/5c^5)[(1 + a/(3(6a-1)))⟨Q⃛_ij Q⃛_ij⟩ + ((1+7a)/(3(6a-1)))⟨Q⃛²⟩], with the claimed scalar-mode detectability resting on an invalid near-divergence estimate.
Nonlocal Gravity: Fundamental Tetrads and Constitutive Relations
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
abstract
Nonlocal gravity (NLG) is a classical nonlocal generalization of Einstein's theory of gravitation based on a certain analogy with the nonlocal electrodynamics of media. The history dependence enters NLG through a constitutive relation involving a causal kernel that should ultimately be determined via observational data. The purpose of this paper is to reformulate nonlocal gravity such that the nonlocal aspect of the constitutive relation directly connects measurable quantities as in the nonlocal electrodynamics of media. The resulting constitutive relation turns out to coincide with the recent suggestion of Puetzfeld, Obukhov, and Hehl [25]. With the new constitutive relation of NLG, it is possible to show that de Sitter spacetime is not a solution of NLG.
citation-role summary
background 1
citation-polarity summary
fields
gr-qc 1years
2024 1verdicts
CONDITIONAL 1roles
background 1polarities
unclear 1representative citing papers
citing papers explorer
-
Non-locality in Quadrupolar Gravitational Radiation
For the nonlocal action R + aR□^{-1}R, the quadrupole GW luminosity becomes (G/5c^5)[(1 + a/(3(6a-1)))⟨Q⃛_ij Q⃛_ij⟩ + ((1+7a)/(3(6a-1)))⟨Q⃛²⟩], with the claimed scalar-mode detectability resting on an invalid near-divergence estimate.