Conformal Einstein pp-wave spaces as quantum solutions

Mehdi Nadjafikhah, Yadollah AryaNejad, Nishteman Zandi

Abstract


‎We study conformal geometry on two essential classes of pp-wave spaces‎, ‎i‎.e., ‎Cahen-Wallach and two-symmetric spaces‎. ‎This study leads to‎ ‎the general description of conformally Einstein metrics on the spaces under consideration‎. ‎Having settled a model for the potential energy of the capacitor‎, ‎we prove that the‎ ‎multiplying functions of conformal Einstein pp-wave spaces are solutions to the Schrodinger equation‎.


Keywords


Conformal Einstein equation‎, ‎Schr\"odinger equation‎, ‎Lorentzian two-symmetric space‎, ‎Quantum solutions

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