2001 (IPP)

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Non-conformally flat bulk spacetime and the 3-brane world
(2001-01-05) Singh, Parampreet; Dadhich, Naresh
We show that for non-conformally ﬂat bulk spacetime, there exist no bound modes for zero mass graviton on the 3-brane. The brane world model is therefore unstable for the bulk spacetime being diﬀerent from the conformally ﬂat anti - de Sitter space.
Field theories from the relativistic law of motion
(2001-06-02) Singh, Parampreet; Dadhich, Naresh
From the relativistic law of motion we attempt to deduce the ﬁeld theories corresponding to the force law being linear and quadratic in 4-velocity of the particle. The linear law leads to the vector gauge theory which could be the abelian Maxwell electrodynamics or the non-abelian Yang-Mills theory. On the other hand the quadratic law demands spacetime metric as its potential which is equivalent to de- manding the Principle of Equivalence. It leads to the tensor theory of gravitational ﬁeld - General Relativity. It is remarkable that a purely dynamical property of the force law leads uniquely to the correspond- ing ﬁeld theories