Constraining f ( T ) gravity in the Solar System

In the framework of f(T) theories of gravity, we solve the field equations for f(T)=T+α T{sup n} in the weak-field approximation and for spherical symmetry spacetime. Since f(T)=T corresponds to Teleparallel Gravity, which is equivalent to General Relativity, the non linearity of the Lagrangian are...

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Bibliographic Details
Published in:Journal of cosmology and astroparticle physics 2015-08, Vol.2015 (8), p.21-21
Main Authors: Iorio, Lorenzo, Radicella, Ninfa, Ruggiero, Matteo Luca
Format: Article
Language:English
Subjects:
APPROXIMATIONS
ASTROPHYSICS, COSMOLOGY AND ASTRONOMY
COSMOLOGICAL CONSTANT
DISTURBANCES
FIELD EQUATIONS
GENERAL RELATIVITY THEORY
GRAVITATIONAL FIELDS
LAGRANGIAN FUNCTION
MATHEMATICAL SOLUTIONS
MERCURY PLANET
RELATIVISTIC RANGE
SATURN PLANET
SOLAR SYSTEM
SPACE VEHICLES
SPACE-TIME
SPHERICAL CONFIGURATION
SUN
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Summary:In the framework of f(T) theories of gravity, we solve the field equations for f(T)=T+α T{sup n} in the weak-field approximation and for spherical symmetry spacetime. Since f(T)=T corresponds to Teleparallel Gravity, which is equivalent to General Relativity, the non linearity of the Lagrangian are expected to produce perturbations of the general relativistic solutions, parameterized by α. Hence, we use the f(T) solutions to model the gravitational field of the Sun and exploit data from accurate radio-tracking of spacecrafts orbiting Mercury and Saturn to infer preliminary bounds on the model parameter α and on the cosmological constant Λ.
ISSN:1475-7516
1475-7516
DOI:10.1088/1475-7516/2015/08/021