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.
Can nonlocal gravity really explain dark energy?
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abstract
In view to scrutinize the idea that nonlocal modifications of General Relativity could dynamically address the dark energy problem, we investigate the evolution of the Universe at infrared scales as an Infinite Derivative Gravity model of the Ricci scalar, without introducing the cosmological constant $\Lambda$ or any scalar field. The accelerated expansion of the late Universe is shown to be compatible with the emergence of nonlocal gravitational effects at sufficiently low energies. A technique for circumventing the mathematical complexity of the nonlocal cosmological equations is developed and, after drawing a connection with the Starobinsky gravity, verifiable predictions are considered, like a possible decreasing in the strength of the effective gravitational constant. In conclusion, the emergence of nonlocal gravity corrections at given scales could be an efficient mechanism to address the dark energy problem.
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gr-qc 1years
2024 1verdicts
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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.