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More Excitement Across the Horizon
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An Unruh-DeWitt (UDW) detector falling radially into a four-dimensional Schwarzschild black hole, coupled linearly to a massless scalar field that has been prepared in the Hartle-Hawking or Unruh state, has recently been shown to exhibit a local extremum in its transition probability near the black hole horizon [K.K. Ng et al., New J. Phys. 24 (2022) 103018]. We show that a similar phenomenon is present in the transition rate of a UDW detector falling radially into a spinless Ba\~nados-Teitelboim-Zanelli (BTZ) black hole, with the scalar field prepared in the Hartle-Hawking state. We give extensive numerical results as a function of the detector's energy gap, the black hole's mass, and the detector's drop-off radius. Our results suggest that the effect is robust, motivating a search for a similar effect in other black hole spacetimes, and calling for an explanation of the physical origin of the effect.
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Cited by 1 Pith paper
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Delay-Independent Stability of Nonlinear Delay Differential Equations via Isospectral Reduction
Claims a delay-independent global exponential stability criterion for a broad class of nonlinear nonautonomous delay differential equations using isospectral reduction of an associated sequence of matrices.
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