Scalar field localization on a brane with cosmological constant

Abstract

We address the localization of a scalar field, whose bulk-mass M is considered in a wide range including the tachyonic region,on a three-brane. The brane with non-zero cosmological constant $\lambda$ is embedded in five dimensional bulk space. We find in this case that the trapped scalar could have mass $m$ which has an upper bound and expressed as $m^2=m_0^2+\alpha M^2\le \beta |\lambda |$ with the calculable numbers $m_0^2,\alpha ,\beta$. We point out that this result would be important to study the stability of the brane and cosmological problems based on the brane-world.

14 pages, 5 figures

References in corpus (2)

• Localization of Gravity on Brane Embedded in $Ad{S}_5$ and $d{S}_5$
• Stability of Randall-Sundrum brane-world and tachyonic scalar

Cited by in corpus (5)

• Holographic Model for Hadrons in Deformed AdS5 Background
• Frame-invariant approach to higher-dimensional scalar-tensor gravity
• Dilaton coupled brane-world and field trapping
• Localization of scalar field on the brane-world by coupling with gravity
• The nature of cosmological singularities in isotropic universes and braneworlds