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Möbius mirrors

Journal Article · · Classical and Quantum Gravity
 [1];  [2]
  1. Nazarbayev University, Nur-Sultan (Kazakhstan)
  2. Nazarbayev University, Nur-Sultan (Kazakhstan); Univ. of California, Berkeley, CA (United States)

An accelerating boundary (mirror) acts as a horizon and black hole analog, radiating energy with some particle spectrum. In this work, we demonstrate that a Möbius transformation on the null coordinate advanced time mirror trajectory uniquely keeps invariant not only the energy flux but the particle spectrum. We clarify how the geometric entanglement entropy is also invariant. The transform allows generation of families of dynamically distinct trajectories, including $$\mathcal{PT}$$ -symmetric ones, mapping from the eternally thermal mirror to the de Sitter horizon, and different boundary motions corresponding to Kerr or Schwarzschild black holes

Research Organization:
Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States)
Sponsoring Organization:
USDOE Office of Science (SC), High Energy Physics (HEP); Ministry of Education and Science of the Republic of Kazakhstan
Grant/Contract Number:
AC02-05CH11231
OSTI ID:
1878326
Journal Information:
Classical and Quantum Gravity, Journal Name: Classical and Quantum Gravity Journal Issue: 10 Vol. 39; ISSN 0264-9381
Publisher:
IOP PublishingCopyright Statement
Country of Publication:
United States
Language:
English

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