Variation of mass in primordial nucleosynthesis as a test of induced matter brane gravity

S Jalalzadeh,A.M Yazdani

doi:10.1016/j.physletb.2008.05.041

S Jalalzadeh, A.M Yazdani

Open Access

https://doi.org/10.1016/j.physletb.2008.05.041

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Abstract

The variation of mass in induced matter theory using Ceroch–Stewart–Walter perturbations of submanifolds is redefined. It is shown that the deviation of primordial Helium production due to a variation on the difference between the “rest” mass of the nucleus is in agreement with induced matter brane gravity.

Highlights

The aim of purely geometrical description of all physical interactions as well as that of a geometrical origin of matter as dreamed by Einstein [2] has attracted a lot of interest
To solve the problem of non observability of the small “internal” space spanned by the extra dimensions, it is usually assumed that the size of the extra dimensions are of the order of Planck length, being itself a consequence of dynamical evolution of the higher-dimensional universe, as a result of the introducing the higher-dimensional stress-energy tensor
In this paper we reobtain the variation of mass in Induced Matter Theory (IMT) according to the resent developments in this theory and in a simple model it is showed that by correct defining of the induced mass, the variation of mass obtained from IMT is in agreement with mass variation bound obtained from Hot Big Bang

Summary

Introduction

The aim of purely geometrical description of all physical interactions as well as that of a geometrical origin of matter as dreamed by Einstein [2] has attracted a lot of interest. In [6], the authors show that the gravitational models with compact extra dimensions, linearly perturbed Einstein equations are in conflict with observation There exist another extensions of Einstein’s theory in which our spacetime is a submanifold (Brane) embedded in a higher dimensional manifold (Bulk). Where gμν is the induced metric on the brane, ε = ±1 denotes the signature of the extra dimension, Kμν is the extrinsic curvature and K is its trace The reason that this theory is called induced matter theory (IMT) is that the effective 4D matter is a consequence of the geometry of the bulk [8]. In this paper we reobtain the variation of mass in IMT according to the resent developments in this theory and in a simple model it is showed that by correct defining of the induced mass, the variation of mass obtained from IMT is in agreement with mass variation bound obtained from Hot Big Bang

Test particle dynamics and induced mass

C P1 exp

Variation of mass in FRW brane

Conclusions