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Gravitational Waves as a Probe of the Extra Dimension
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We consider the Einstein-Hilbert action without cosmological constant in 5-dimensions and implement the Kaluza-Klein (KK) reduction by compactifying the fifth direction on a circle of small but finite radius. For non-zero compactification radius, the 4- dimensional spectrum contains massless and massive KK modes. For the massive KK modes, we retain four KK tensor and one KK scalar modes after a gauge fixing. We treat those massive KK modes as stochastic sources of gravitational wave (GW) with characteristic dependences of the frequencies on the size of the extra dimension. Using the observational bounds on the size of the extra dimension and on the characteristic strain, we make an order estimation on the frequencies and amplitudes of the massive KK modes that can contribute to the GW.
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Optical gravitational waves as signals of Gravitationally-Decaying Particles
A particle that decays only through gravitational channels can produce relic gravitational waves with a narrow optical-frequency spectrum, possibly at an observable abundance near the BBN/CMB bound.
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