ELSV formula

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

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

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

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