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Solar system tests of brane world models

Christian G Böhmer1, Tiberiu Harko2 and Francisco S N Lobo3,4

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The classical tests of general relativity (perihelion precession, deflection of light and the radar echo delay) are considered for the Dadhich, Maartens, Papadopoulos and Rezania (DMPR) solution of the spherically symmetric static vacuum field equations in brane world models. For this solution the metric in the vacuum exterior to a brane world star is similar to the Reissner–Nordström form of classical general relativity, with the role of the charge played by the tidal effects arising from projections of the fifth dimension. 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 bulk tidal parameter and of the brane tension.


PACS

04.20.Jb Exact solutions

11.25.Uv D branes

98.80.Cq Particle-theory and field-theory models of the early Universe (including cosmic pancakes, cosmic strings, chaotic phenomena, inflationary universe, etc.)

96.30.Dz Mercury

04.50.-h Higher-dimensional gravity and other theories of gravity

98.80.Es Observational cosmology (including Hubble constant, distance scale, cosmological constant, early Universe, etc)

MSC

83F05 Cosmology

83E15 Kaluza-Klein and other higher-dimensional theories

83C05 Einstein's equations (general structure, canonical formalism, Cauchy problems)

83E30 String and superstring theories (See also 81T30)

83C15 Exact solutions

Subjects

Gravitation and cosmology

Particle physics and field theory

Astrophysics and astroparticles

Dates

Issue 4 (21 February 2008)

Received 17 October 2007, in final form 6 January 2008

Published 5 February 2008



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