Newton's constant in f(R,R_{μν}R^{μν},\Box R) theories of gravity and constraints from BBN

Abstract

We consider corrections to the Einstein-Hilbert action which contain both higher order and nonlocal terms. We derive an effective Newtonian gravitational constant applicable at the weak field limit and use the primordial nucleosynthesis (BBN) bound and the local gravity constraints on $G_{eff}$ in order to test the viability of several cases of our general Lagrangian. We will also provide a BBN constrain on the $\square R$ gravitational correction.

arXiv commentv1: 6 pages, 3 figures v2: Corrected minor error in Sec. IV (conclusions unaffected), references added v3: Changes match published version in PRD

References in corpus (26)

• Introduction to Modified Gravity and Gravitational Alternative for Dark Energy
• Modified gravity with negative and positive powers of the curvature: unification of the inflation and of the cosmic acceleration
• Quantum Gravity in Everyday Life: General Relativity as an Effective Field Theory
• The Cosmology of Generalized Modified Gravity Models
• Bouncing Universes in String-inspired Gravity
• Primordial Nucleosynthesis: from precision cosmology to fundamental physics
• Crossing the Phantom Divide: Theoretical Implications and Observational Status
• Matter density perturbations and effective gravitational constant in modified gravity models of dark energy
• Dark Energy and Dark Gravity
• Modified non-local-F(R) gravity as the key for the inflation and dark energy
• Testing LCDM with the Growth Function δ(a): Current Constraints
• The matter power spectrum in f(R) gravity
• Non-perturbative Gravity, Hagedorn Bounce & CMB
• Big bang nucleosynthesis constraints on scalar-tensor theories of gravity
• Matter density perturbations in modified gravity models with arbitrary coupling between matter and geometry
• The response of primordial abundances to a general modification of $G_{\mathrm{N}}$ and/or of the early universe expansion rate
• Newtonian limit of nonlocal cosmology
• Cosmic Microwave Background Temperature and Polarization Anisotropy in Brans-Dicke Cosmology
• Effective Nonlocal Euclidean Gravity
• N-Body Simulations of Alternate Gravity Models
• Constraints on the Variation of G from Primordial Nucleosynthesis
• The radiation-matter transition in Jordan-Brans-Dicke theory
• An introduction to quantum gravity
• Large-scale magnetic fields from inflation due to Chern-Simons-like effective interaction
• New nonlocal effective action
• Particle production from nonlocal gravitational effective action

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• Cosmological constraints on non-adiabatic dark energy perturbations
• The WiggleZ Dark Energy Survey: constraining the evolution of Newton's constant using the growth rate of structure
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• Early Modified Gravity: Implications for Cosmology
• Big-bang nucleosynthesis and cosmic microwave background constraints on non-minimally coupled theories of gravity
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• Noether symmetry in a nonlocal f(T) Gravity
• Testing the $\Lambda$CDM paradigm with growth rate data and machine learning
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• Curvature and Entropy Perturbations in Generalized Gravity
• Reconstruction of the null-test for the matter density perturbations
• Particle creation and decay in nonminimally coupled models of gravity
• Distance-duality in theories with a nonminimal coupling to gravity
• Non minimally coupled condensate cosmologies: matching observational data with phase space
• Modified gravity with disappearing cosmological constant
• An investigation of a varying G through Strong Lensing and SNe Ia observations
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