Peres metric

In mathematical physics, the Peres metric is defined by the proper time

${d \tau}^{2} = dt^2 - 2f(t+z, x, y) (dt+dz)^2-dx^2-dy^2-dz^2$

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.

See also

• Introduction to the mathematics of general relativity
• Stress–energy tensor
• Metric tensor (general relativity)

References

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.