for any arbitrary function f. If f is a harmonic function with respect to x and y, then the corresponding Peres metric satisfies the Einstein field equations in vacuum. Such a metric is often studied in the context of gravitational waves. The metric is named for Israeli physicist Asher Peres, who first defined the metric in 1959.
- Peres, Asher (1959). "Some Gravitational Waves". Phys. Rev. Lett. 3: 571–572. Bibcode:1959PhRvL...3..571P. doi:10.1103/PhysRevLett.3.571. Retrieved 27 April 2013.
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