Constraining the Schwarzschild-de Sitter Solution in Models of Modified Gravity

Abstract

The Schwarzschild-de Sitter (SdS) solution exists in the large majority of modified gravity theories, as expected, and in particular the effective cosmological constant is determined by the specific parameters of the given theory. We explore the possibility to use future extended radio-tracking data from the currently ongoing New Horizons mission in the outskirts peripheries of the Solar System, at about 40 au, in order to constrain this effective cosmological constant, and thus to impose constrain on each scenario's parameters. We investigate some of the recently most studied modified gravities, namely $f(R)$ and $f(T)$ theories, dRGT massive gravity, and Hořava-Lifshitz gravity, and we show that New Horizons mission may bring an improvement of one-two orders of magnitude with respect to the present bounds from planetary orbital dynamics.

LaTex2e, 29 pages, no tables, 1 figure, 135 references. Accepted for publication in Physics of the Dark Universe (Phys. Dark Univ.). arXiv admin note: text overlap with arXiv:1010.1846 by other authors

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• Thermodynamics of the viscous $f(T,B)$ gravity in the new agegraphic dark energy model
• Testing the violation of the equivalence principle in the electromagnetic sector and its consequences in $f(T)$ gravity
• Thermodynamics and stability of $f(T,B)$ gravity with viscous fluid by observational constraints
• Stability and interacting $f(T,\mathcal{T})$ gravity with modified Chaplygin gas
• Gravitational Lensing in Modified Gravity: A case study for Fast Radio Bursts
• Black Holes, Dark Wormholes and Solitons in f(T) Gravities
• Solar system tests for realistic $f(T)$ models with nonminimal torsion-matter coupling
• Perspectives on constraining a cosmological constant-type parameter with pulsar timing in the Galactic Center
• Cosmological Tests of $f(R,G,T)$ Dark Energy Model in FRW Universe
• Observational constraints and stability in viscous $f(T,\mathcal{T})$ gravity
• The interaction of extended Bose-Einstein condensate dark matter with viscous $f(T,B)$ gravity
• Extended Bose-Einstein condensate dark matter in viscous Gauss-Bonnet gravity
• Light bending, static dark energy and related uniqueness of Schwarzschild-de Sitter spacetime
• Constraining some $r^{-n}$ extra-potentials in modified gravity models with LAGEOS-type laser-ranged geodetic satellites
• Background-dependent and classical correspondences between $f(Q)$ and $f(T)$ gravity
• Effect of some modified models of gravity on the radial velocity of binary systems
• Viscous interacting and stability on dark matter Bose-Einstein condensation with modified Chaplygin gas
• On causality violation in Lyra Geometry