Classical tests of general relativity in brane world models

Christian G Böhmer (1) , Giuseppe de Risi (2) , Tiberiu Harko (3) , Francisco S N Lobo (4)

1 Department of Mathematics and Institute of Origins
2 Dipartimento di Fisica
3 Department of Physics and Center for Theoretical and Computational Physics
4 CAAUL - Centro de Astronomia e Astrofísica da Universidade de Lisboa

The classical tests of general relativity (perihelion precession, deflection of light, and the radar echo delay) are considered for several spherically symmetric static vacuum solutions in brane world models. Generally, the spherically symmetric vacuum solutions of the brane gravitational field equations, have properties quite distinct as compared to the standard black hole solutions of general relativity. As a first step a general formalism that facilitates the analysis of general relativistic Solar System tests for any given spherically symmetric metric is developed. It is shown that the existing observational Solar System data on the perihelion shift of Mercury, on the light bending around the Sun (obtained using long-baseline radio interferometry), and ranging to Mars using the Viking lander, constrain the numerical values of the parameters of the specific models.

Mots clés: 04.80.Cc; 04.50.+h; 04.80.-y

Christian G Böhmer, Giuseppe de Risi, Tiberiu Harko, Francisco S N Lobo. Classical tests of general relativity in brane world models. Classical and Quantum Gravity, 2010, 27 (18), pp.185013. ⟨10.1088/0264-9381/27/18/185013⟩. ⟨hal-00625164⟩