Simplified derivation of the Hawking-Unruh temperature for an accelerated observer in vacuum

@article{Alsing2004SimplifiedDO,
  title={Simplified derivation of the Hawking-Unruh temperature for an accelerated observer in vacuum},
  author={Paul M. Alsing and Peter W. Milonni},
  journal={American Journal of Physics},
  year={2004},
  volume={72},
  pages={1524-1529}
}
A detector undergoing uniform acceleration a in a vacuum field responds as though it were immersed in thermal radiation of temperature T=ℏa/2πkc. An intuitive derivation of this result is given for a scalar field in one spatial dimension. The approach is extended to the case where the field detected by the accelerated observer is a spin 1/2 Dirac field. 
Unruh temperature with maximal acceleration
In this paper, we modify the geometry of Rindler space so as to include an upper limit on the acceleration. Caianiello and his collaborators, in a series of papers, have analyzed the corrections to
The Relativity of Particles
  • Physics
  • 2011
The Fulling-Davies-Unruh effect is discussed and used as a poor man s approach to the Hawking radiance of black holes. Thermal radiation fields can arise in the vicinity of black holes, or simply due
Two-dimensional Hawking radiation from the AdS/CFT correspondence
The AdS/CFT correspondence has been tested through the reproduction of standard results. Following this approach, we use the correspondence to obtain the Hawking temperature of a black hole in 1+1
Can the Vacuum be Thermalized
Accelerations do not cause time dependent Doppler shifts, which is usually caused by chirping. Lorentz transformations are not applicable to non-inertial systems like uniform accelerating bodies.
Derivation of the Planck Spectrum for Relativistic Classical Scalar Radiation from Thermal Equilibrium in an Accelerating Frame
The Planck spectrum of thermal scalar radiation is derived suggestively within classical physics by the use of an accelerating coordinate frame. The derivation has an analogue in Boltzmann's
Classical analog of the Unruh effect
In the Unruh effect an observer with constant acceleration perceives the quantum vacuum as thermal radiation. The Unruh effect has been believed to be a pure quantum phenomenon, but here we show
Maximal acceleration and black hole evaporation
. We discuss how in certain theories of spacetime admitting a maximal proper acceleration Hawking radiation does not completely evaporate the black hole. The black hole remnant’s mass depends on the
Saha Equation in an Uniformly Accelerated Reference Frame and Some of Its Physical Implications
The Saha equations for the photo-ionization of hydrogen atoms and the electron positron pair production at high temperature are obtained in a reference frame undergoing a uniform accelerated motion
Calculating the Hawking Temperature in a Variant of the Near Horizon Metric
A modied version of the near horizon metric is introduced, that puts the near horizon metric in the same form as one of the most commonly-used metric variants of Rindler space. The metric is then