Black-body radiation in an accelerated frame

We derive Planck’s radiation law in a uniformly accelerated frame expressed in Rindler coordinates. The black-body spectrum is time-dependent in its temperature and Planckian at each instantaneous time, but it is scaled by an emissivity factor that depends on the Rindler spatial coordinate and the acceleration magnitude. An observer in an accelerated frame will perceive the black-body as black, hyperblack, or grey, depending on their position relative to the source (moving away or toward it), the acceleration magnitude, and whether they are accelerating or decelerating. For an observer accelerating away from the source, there exists a threshold on the acceleration magnitude beyond which they no longer receive radiation from the black-body. Since the frequency and the number of modes in Planck’s law evolve over time, the spectrum is continuously red- or blue-shifted towards lower or higher frequencies as time progresses, and the radiation modes(photons) may be created or annihilated, depending on the observer’s position and their acceleration or deceleration relative to the source of radiation.