Stability of the GRS Model

Abstract

We discuss the compatibility between the weaker energy condition and the stability of Gregory, Rubakov and Sibiryakov (GRS) model. Because the GRS spacetime violates the weak energy condition, it may cause the instability. In the GRS model, the four dimensional gravity can be described by the massive KK modes with the resonance. Hence, instead of considering the weaker energy condition, we require for the stability of this model: no tachyon and no ghost condition for graviton modes ($h_{\mu \nu }$). No tachyonic condition ($m_h^2\ge 0$) is satisfied because the lowest state $m_h=0$ is supersymmetric vacuum state. Further, no ghost state condition is achieved if one requires some relations for the matter source: $2T_{55}=T_{\mu }^{\mu }=3(T_{22}+T_{33})$. It turns out that, although the GRS spacetime does not satisfy the weaker energy condition, it is stable against small perturbation.

Revtex, 1 figure, 10 pages, a wrong citation corrected

References in corpus (14)

• Gravity in the Randall-Sundrum Brane World
• Metastable Gravitons and Infinite Volume Extra Dimensions
• Linearized Gravity in Brane Backgrounds
• Opening up extra dimensions at ultra-large scales
• Infinitely Large New Dimensions
• Quasi-Localization of Gravity by Resonant Modes
• Single-Brane Cosmological Solutions with a Stable Compact Extra Dimension
• The Cosmological Constant From The Viewpoint Of String Theory
• Brane Universe and Multigravity: Modification of gravity at large and small distances
• Graviton Propagators, Brane Bending and Bending of Light in Theories with Quasi-Localized Gravity
• Holographic RG and Cosmology in Theories with Quasi-Localized Gravity
• Randall-Sundrum Gauge in the Brane World
• Metric Fluctuations in Brane Worlds
• Comment on "Metric Fluctuations in Brane Worlds"

Cited by in corpus (1)

• U(1) Gauge Field of the Kaluza-Klein Theory in the Presence of Branes