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No Ghost State in the Brane World | | Gungwon Kang
; Y.S. Myung
; | | Date: |
18 Mar 2000 | | Journal: | Phys.Lett. B483 (2000) 235-239 | | Subject: | hep-th gr-qc | | Abstract: | We discuss the role of the trace part of metric fluctuations $h_{MN}$ in the Randall-Sundrum scenario of gravity. Without the matter, this field ($h=eta^{MN}h_{MN}$) is a gauge-dependent term, and thus it can be gauged away. But, including the uniform source $ ilde{T}_{MN}$, this field satisfies the linearized equation $Box_4 h =16pi G_5 T^{mu}_{mu}$. This may correspond to the scalar $xi^5$ in the bending of the brane due to the localized source. Considering the case of longitudinal perturbations ($h_{5mu} =h_{55}=0$), one finds the source relation $ ilde{T}^{mu}_{mu}=2 ilde{T}_{55}$, which leads to the ghost states in the massive modes. In addition, if one requires $T_{44}=2(T_{22}+T_{33})$, it is found that in the limit of $m^2_h o 0$ we have the massless spin-2 propagation without the ghost state. This exactly corresponds to the same situation as in the intermediate scales of Gregory-Rubakov-Sibiryakov (GRS) model. | | Source: | arXiv, hep-th/0003162 | | Services: | Forum | Review | PDF | Favorites | |
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