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Schwarzschild horizon and the gravitational redshift formula

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arxiv gr-qc/0110073 v3 pith:JWANOUM2 submitted 2001-10-16 gr-qc astro-phhep-th

classification gr-qcastro-phhep-th
keywords redshiftformulagravitationalconditionenergyfluxscaleschwarzschild
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The gravitational redshift formula is usually derived in the geometric optics approximation. In this note we consider an exact formulation of the problem in the Schwarzschild space-time, with the intention to clarify under what conditions this redshift law is valid. It is shown that in the case of shocks the radial component of the Poynting vector can scale according to the redshift formula, under a suitable condition. If that condition is not satisfied, then the effect of the backscattering can lead to significant modifications. The obtained results imply that the energy flux of the short wavelength radiation obeys the standard gravitational redshift formula while the energy flux of long waves can scale differently, with redshifts being dependent on the frequency.

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Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Gravitational redshift as a quantum channel: modeling the effects of gravitational redshift in quantum optics

    quant-ph 2026-08 conditional novelty 7.0 of 10

    Gravitational redshift cannot be represented by any finite set of smooth frequency modes, and the corrected finite-mode description is a Gaussian quantum channel built from a unitary dilation of the non-unitary compression.

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