relativity, the pp-wave spacetimes, or pp-waves for short, are an important family of exact solutions of Einstein's field equation. The term pp stands for...

plane waves are described as "non-flat solutions of Albert Einstein’s empty spacetime field equation". They are a special class of a vacuum pp-wave spacetime...

electromagnetic waves. In 1916, Albert Einstein demonstrated that gravitational waves result from his general theory of relativity as ripples in spacetime. Gravitational...

Gravitational wave, in relativity theory Relativistic wave equations, wave equations that consider special relativity pp-wave spacetime, a set of exact...

revolutionised the mathematical tools that we use to analyse the properties of spacetime". Until then, work on the curved geometry of general relativity had been...

In physics, spacetime, also called the space-time continuum, is a mathematical model that fuses the three dimensions of space and the one dimension of...

and Juan Maldacena to investigate the duality between strings on pp-wave spacetime and "BMN operators" in supersymmetric Yang–Mills theory. Nastase,...

property of space and time, or four-dimensional spacetime. In particular, the curvature of spacetime is directly related to the energy and momentum of...

This is a list of wave topics. Contents:  Top 0–9 A B C D E F G H I J K L M N O P Q R S T U V W X Y Z...

object could theoretically attain in spacetime. Thus, it would still be the speed of spacetime ripples (gravitational waves and gravitons), but it would not...

related the local spacetime curvature (expressed by the Einstein tensor) with the local energy, momentum and stress within that spacetime (expressed by the...

important original work such as the symmetry classification of vacuum pp-wave spacetimes. Stephani, Hans; Kramer, Dietrich; MacCallum, Malcolm; Hoenselaers...

Lemaître–Tolman spacetime pp-wave spacetime Spherically symmetric spacetime Asymptotically flat spacetime Non-relativistic spacetime Static spacetime Einstein...

singularity, spacetime singularity, or simply singularity, is a theoretical condition in which gravity is predicted to be so intense that spacetime itself would...

A spacetime diagram is a graphical illustration of locations in space at various times, especially in the special theory of relativity. Spacetime diagrams...

In physics, curved spacetime is the mathematical model in which, with Einstein's theory of general relativity, gravity naturally arises, as opposed to...

twist spacetime around it, was confirmed by Gravity Probe B results in 2011. In 2015, the LIGO observatory detected faint gravitational waves, the existence...

connects disparate points in spacetime. It can be visualized as a tunnel with two ends at separate points in spacetime (i.e., different locations, different...

In general relativity, a white hole is a hypothetical region of spacetime and singularity that cannot be entered from the outside, although energy, matter...

and important families of exact solutions: pp-wave spacetimes (which model generalizations of the plane waves familiar from electromagnetism), Robinson–Trautman...

metric. Objects cannot accelerate to the speed of light within normal spacetime; instead, the Alcubierre drive shifts space around an object so that the...

addition to these, we also have the vacuum pp-wave spacetimes, which include the gravitational plane waves. Introduction to the mathematics of general...

six-parameter family of linear transformations from a coordinate frame in spacetime to another frame that moves at a constant velocity relative to the former...

Complex spacetime is a mathematical framework that combines the concepts of complex numbers and spacetime in physics. In this framework, the usual real-valued...

(2u)]du^{2}-2dudv-dx^{2}-dy^{2}} and is therefore an example of a pp-wave spacetime. Ozsváth, I.; Schücking, E. (1962), "An anti-Mach metric" (PDF), Recent...

\psi (x,t)}{\partial t}}} where ψ(x, t) is the wave function for an electron of rest mass m with spacetime coordinates x, t. p1, p2, p3 are the components...

1936. pp-wave spacetime, for the Brinkmann gravitational wave solutions. Gravitational plane wave, for the Baldwin–Jeffery gravitational plane wave solutions...

with time, to be part of a boundless four-dimensional continuum known as spacetime. The concept of space is considered to be of fundamental importance to...

primarily by Isaac Newton. It introduced concepts including 4-dimensional spacetime as a unified entity of space and time, relativity of simultaneity, kinematic...

in spacetime. This variable X is a scalar function of position in spacetime. The derivative of this scalar is a vector that characterizes the wave, the...