# nLab stationary spacetime

Contents

### Context

#### Gravity

gravity, supergravity

# Contents

## Idea

A spacetime is called stationary if it admits a Killing vector field which is timelike.

If the spacetime in addition is irrotational (…) it is called a static spacetime.

## Properties

### Ehlers transformation

An Ehlers transformation is a transformation that acts on the parameters of static spacetimes solving the Einstein field equations and generates other solutions of the field equations that are in general stationary spacetimes.