Eur. Phys. J. C (2014) 74: 3017
https://doi.org/10.1140/epjc/s10052-014-3017-x

Regular Article - Theoretical Physics

Classic tests of General Relativity described by brane-based spherically symmetric solutions

¹ Instituto de Ciência e Tecnologia, Universidade Federal de Alfenas, Rodovia José Aurélio Vilela, 11999, Cidade Universitária, Poços de Caldas, MG , CEP 37715-400, Brazil
² Instituto de Fomento e Coordenação Industrial, Departamento de Ciência e Tecnologia Aeroespacial, Praça Mal. Eduardo Gomes 50, São José dos Campos, SP , 12228-901, Brazil
³ Instituto Tecnológico de Aeronáutica, Departamento de Ciência e Tecnologia Aeroespacial, Praça Mal. Eduardo Gomes 50, São José dos Campos, SP , 12228-900, Brazil
⁴ Theoretical Physics Institute, University of Alberta, Edmonton, AB , T6G 2J1, Canada
⁵ Campus Saint-Jean, University of Alberta, Edmonton, AB , T6C 4G9, Canada
⁶ TRIUMF, 4004, Westbrook Mall, Vancouver, BC , V6T 2A3, Canada
⁷ Department of Physics and Astronomy, University of Victoria, PO box 1700, STN CSC, Victoria, BC , V8W 2Y2, Canada
⁸ Departamento de Física e Química, Universidade Estadual Paulista, Av. Ariberto Pereira da Cunha 333, Guaratinguetá, SP , 12.516-410, Brazil

^* e-mail: mdemonti@ualberta.ca

Received: 6 May 2014
Accepted: 31 July 2014
Published online: 12 August 2014

Abstract

We discuss a way to obtain information about higher dimensions from observations by studying a brane-based spherically symmetric solution. The three classic tests of General Relativity are analyzed in detail: the perihelion shift of the planet Mercury, the deflection of light by the Sun, and the gravitational redshift of atomic spectral lines. The braneworld version of these tests exhibits an additional parameter related to the fifth-coordinate. This constant can be constrained by comparison with observational data for massive and massless particles.