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Petawatt class femtosecond lasers and x-ray free electron lasers (XFEL) openup a new page in research fields related to space and vacuum physics. One offundamental principles can be explored by these new instruments is theequivalence principle, saying that gravitation and acceleration should betreated equivalently. If it is true this must lead to the appearance of theUnruh effect analogous to Hawking's black hole radiation. It says that adetector moving with a constant acceleration $w$ sees a boson's thermal bathwith its temperature $T_w=\hbar w/2\pi k_B c$. Practical detection of the Unruheffect requires extremely strong acceleration and fast probing sources. Here wedemonstrate that x-rays scattering from highly accelerated electrons can beused for such detection. We present two, feasible for the Unruh effect, designsfor highly accelerated systems produced in underdense plasma irradiated by highintensity lasers pulses. The first is Thomson scattering of a XFEL pulse fromplasma wave excited by an intense laser pulse. Properly chosen observationangles enable us to distinguish the Unruh effect from the normal Doppler shiftwith a reasonable photon number. The second is a system consisting of electronbunches accelerated by a laser wake-field, as sources and as detectors, whichmove in a constantly accelerating reference frame (Rindler space) and areprobed by x-ray free electron laser pulses. The numbers of photons is shown tobe enough to observe reproducible results.

Probing Space-time Distortion with Laser Wake Field Acceleration and X-ray Free Electron Lasers