New solutions of the Ermakov–Pinney equation in curved space-time

Author:

Bini DonatoORCID,Esposito GiampieroORCID

Publisher

Springer Science and Business Media LLC

Subject

Physics and Astronomy (miscellaneous)

Reference12 articles.

1. Cohen, J.M., Kegeles, L.S.: Electromagnetic fields in curved spaces: a constructive procedure. Phys. Rev. D 10, 1070 (1974)

2. Treves, F.: Introduction to Pseudodifferential and Fourier Integral Operators. Fourier Integral Operators, vol. 2. Plenum Press, New York (1980)

3. Esposito, G., Battista, E., Di Grezia, E.: Bicharacteristics and Fourier integral operators in Kasner spacetime. Int. J. Geom. Methods Mod. Phys. 12, 1550060 (2015)

4. Esposito, G., Minucci, M.: A new perspective on the Ermakov–Pinney and scalar wave equations. Lett. High Energy Phys. LHEP 3, 5 (2019). arXiv:1905.09382 [math.GM]

5. Ermakov, V.P.: Second-order differential equations: conditions of complete integrability. Univ. Izv. Kiev Ser. III 9, 1 (1880)

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