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...

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

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

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...

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...

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

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

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...

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

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

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

In physics, electromagnetic radiation (EMR) is a self-propagating wave of the electromagnetic field that carries momentum and radiant energy through space...

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

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...

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

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

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

conjecture—for example, in 2002 regarding the duality between strings on pp-wave spacetime and Berenstein–Maldacena–Nastase operators in N=4 supersymmetric Yang-Mills...

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

\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...

principle of sensing gravitational waves: From the zero-point fluctuations to the cosmological stochastic background of spacetime". Physical Review D. 96 (4):...

slower-than-light (subluminal) speed with respect to the locally distorted spacetime region. Speculative faster-than-light concepts include the Alcubierre...

worldline) of an object is the path that an object traces in 4-dimensional spacetime. It is an important concept of modern physics, and particularly theoretical...

relativity), Jürgen Ehlers (Ehlers vacuum family, symmetries of pp waves, spacetime view of gravitational lensing, Newtonian limit), Albert Einstein...

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...