Gravitational waves in warped compactifications. (English) Zbl 1437.83028
Summary: We study gravitational waves propagating on a warped Minkowski space-time with \(D-4\) compact extra dimensions. While Kaluza-Klein scales are typically too high for any current detection, we analyse how the warp factor changes the Kaluza-Klein spectrum of gravitational waves. To that end we provide a complete and explicit expression for the warp factor, as well as the Green’s function, on a \(d\)-dimensional torus. This expression differs from that of braneworld models and should find further uses in string compactifications. We then evaluate the Kaluza-Klein spectrum of gravitational waves. Our preliminary numerical results indicate not only a deviation from the standard toroidal spectrum, but also that the first masses get lowered due to the warp factor.
MSC:
| 83C35 | Gravitational waves |
| 83E30 | String and superstring theories in gravitational theory |
| 81T30 | String and superstring theories; other extended objects (e.g., branes) in quantum field theory |
| 81T33 | Dimensional compactification in quantum field theory |
| 83E15 | Kaluza-Klein and other higher-dimensional theories |
| 53Z05 | Applications of differential geometry to physics |
Software:
SGWBinnerReferences:
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