Abstract
The lowest order mass for a KK graviton, as a non-zero product of two branes interacting via a situation similar to Steinhardt’s ekpyrotic universe is obtained, as to an alternative to the present dogma specifying that gravitons must be massless. The relative positions as to the branes give a dynamical picture as to how lowest order KK gravitons could be affected by contraction and then subsequent expansion. Initially we have bulk gravitons as a vacuum state. The massless condition is just one solution to a Stern Liuouville operator equation we discuss, which with a non-zero lowest order mass for a KK graviton permits modeling of gravitons via a dynamical Casmir effect which we generalize using Ruser and Duerrer’s 2007 work. In particular the blue spectrum for (massless gravitons), is revisited, with consequences for observational astrophysics.
Highlights
We make use of work done by Ruser and Duerrer [1] which is essentially a re-do of the Steinhardt model of the ekpyrotic universe, with two branes, one of which is viewed to be stationary and the other is moving toward and away from the stationary brane.The construction used, largely based upon the Ruser and Duerrer [1] article makes use of a set of differential equations based on the Sturm Liouville method which in the case of the zeroth order mass being zero have in usual parlance a zero value to lowest order KK graviton mass [1]
The lowest order mass for a KK graviton, as a non-zero product of two branes interacting via a situation similar to Steinhardt’s ekpyrotic universe is obtained, as to an alternative to the present dogma specifying that gravitons must be massless
The issue is how to keep the consistency of physical law intact, in cosmological evolution
Summary
We make use of work done by Ruser and Duerrer [1] which is essentially a re-do of the Steinhardt model of the ekpyrotic universe, with two branes, one of which is viewed to be stationary and the other is moving toward and away from the stationary brane. The construction used, largely based upon the Ruser and Duerrer [1] article makes use of a set of differential equations based on the Sturm Liouville method which in the case of the zeroth order mass being zero have in usual parlance a zero value to lowest order KK graviton mass [1]. Beckwith to show how graviton mass, lowest order is affected by a Casmir plate treatment of graviton dynamic
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More From: Journal of High Energy Physics, Gravitation and Cosmology
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