# Peres metric

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

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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