
TL;DR
This paper generalizes the Randall-Sundrum two-brane model by allowing branes with actions of the same form but opposite signs, analyzing stability, gravitational behavior, and quantum implications of the resulting setup.
Contribution
It introduces a new class of two-brane models with opposite sign actions, exploring their stability, gravitational properties, and quantum vacuum implications.
Findings
Model is tachyon-free for large negative brane cosmological constants
Gravitational forces on the branes are of opposite signs
Most realistic model localizes gravity around the visible brane
Abstract
The Randall-Sundrum two-brane model admits the flat-brane Lorentz-invariant vacuum solution only if the branes have exactly opposite tensions. We pay attention to this condition and propose a generalization of this model in which two branes are described by actions of the same form and with the same matter content but {\em with opposite signs}. In this way, the relation between their tensions (which are their vacuum energy densities) is naturally accounted for. We study a simple example of such a model in detail. It represents the Randall-Sundrum model supplemented by the Einstein scalar-curvature terms in the actions for the branes. We show that this model is tachyon-free for sufficiently large negative values of the brane cosmological constant, that gravitational forces on the branes are of opposite signs, and that physically most reasonable model of this type is the one where the…
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