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Unruh-DeWitt Detector Differentiation of Black Holes and Exotic Compact Objects
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We study the response of a static Unruh-DeWitt detector outside an exotic compact object (ECO) with a general reflective boundary condition in 3+1 dimensions. The horizonless ECO, whose boundary is extremely close to the would-be event horizon, acts as a black hole mimicker. We find that the response rate is notably distinct from the black hole case, even when the ECO boundary is perfectly absorbing. For a (partially) reflective ECO boundary, we find resonance structures in the response rate that depend on the different locations of the ECO boundary and those of the detector. We provide a detailed analysis in connection with the ECO's vacuum mode structure and transfer function.
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Integrals of motion on extremals of the equation Euler-Lagrange
The paper claims that Wronskian determinants of closed first-order ODE systems serve as integrals of motion on Euler-Lagrange extremals, constructed via the Jacobi equation.
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