# Gravitational plane wave

In

general relativity , a**gravitational plane wave**is a special class of a vacuumpp-wave spacetime , and may be defined in terms ofBrinkmann coordinates by$ds^2=\; [a(u)(x^2-y^2)+2b(u)xy]\; du^2+2dudv+dx^2+dy^2$

Here, $a(u),\; b(u)$ can be any

smooth function s; they control thewaveform of the two possiblepolarization modes ofgravitational radiation . In this context, these two modes are usually called the**plus mode**and**cross mode**, respectively.**ee also***

vacuum solution (general relativity)

*Wikimedia Foundation.
2010.*

### Look at other dictionaries:

**Monochromatic electromagnetic plane wave**— In general relativity, the monochromatic electromagnetic plane wave spacetime is the analog of the monochromatic plane waves known from Maxwell s theory. The precise definition of the solution is a bit complicated, but very instructive. Any exact … Wikipedia**Gravitational wave**— In physics, a gravitational wave is a fluctuation in the curvature of spacetime which propagates as a wave, traveling outward from a moving object or system of objects. Gravitational radiation is the energy transported by these waves. Important… … Wikipedia**Wave**— A wave is a disturbance that propagates through space and time, usually with transference of energy. While a mechanical wave exists in a medium (which on deformation is capable of producing elastic restoring forces), waves of electromagnetic… … Wikipedia**Gravitational singularity**— General relativity Introduction Mathematical formulation Resources Fundamental concepts … Wikipedia**Pp-wave spacetime**— In general relativity, the pp wave spacetimes, or pp waves for short, are an important family of exact solutions of Einstein s field equation. These solutions model radiation moving at the speed of light. This radiation may consist of:*… … Wikipedia**Electromagnetic wave equation**— The electromagnetic wave equation is a second order partial differential equation that describes the propagation of electromagnetic waves through a medium or in a vacuum. The homogeneous form of the equation, written in terms of either the… … Wikipedia**List of wave topics**— This is a list of wave topics.0 ndash;9*21 cm lineA*Abbe prism *absorption spectrum *acoustics *Airy disc *Airy wave theory *Alfvén wave *Alpha waves *amphidromic point *amplitude *amplitude modulation *analog sound vs. digital sound *animal… … Wikipedia**Timeline of gravitational physics and relativity**— Timeline of gravitational physics and general relativity* 800s Ja far Muhammad ibn Mūsā ibn Shākir hypothesizes that the heavenly bodies and celestial spheres are subject to the same laws of physics as Earth, unlike the ancients who believed that … Wikipedia**Ocean surface wave**— Ocean surface waves are surface waves that occur on the free surface of the ocean. They usually result from wind, and are also referred to as wind waves. Some waves can travel thousands of miles before reaching land. They range in size from small … Wikipedia**Airy wave theory**— In fluid dynamics, Airy wave theory (often referred to as linear wave theory) gives a linearised description of the propagation of gravity waves on the surface of a homogeneous fluid layer. The theory assumes that the fluid layer has a uniform… … Wikipedia