Derives Frenet-Serret equations for relativistic motion with variable proper acceleration and torsion, relating parameters to four-jerk and four-snap via Gram-Schmidt tetrad, with analytic examples.
Eternal and Evanescent Black Holes: It's All Done With Mirrors
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abstract
The analogy between black hole radiation and accelerating mirror radiation (the dynamical Casimir effect) is particularly strong for mirror trajectories giving rise to a constant thermal flux of particles. We present new ways to achieve such thermal plateaus, and customize their finite, semi-infinite, and eternal presence, corresponding to forming/collapsing, complete-evaporation/remnants, and eternal black holes. We find simple expressions for the energy flux in terms of the mirror rapidity as a function of proper time and null time.
fields
gr-qc 1years
2026 1verdicts
UNVERDICTED 1representative citing papers
citing papers explorer
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Frenet-Serret equations with variable proper acceleration in Minkowski spacetime
Derives Frenet-Serret equations for relativistic motion with variable proper acceleration and torsion, relating parameters to four-jerk and four-snap via Gram-Schmidt tetrad, with analytic examples.