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In general relativity, an electrovacuum solution (electrovacuum) is an exact solution of the Einstein field equation in which the only nongravitational mass–energy present is the field energy of an electromagnetic field, which must satisfy the (curved-spacetime) source-free Maxwell equations appropriate to the given geometry.
In general relativity, a vacuum solution is a Lorentzian manifold whose Einstein tensor vanishes identically. According to the Einstein field equation , this means that the stress–energy tensor also vanishes identically, so that no matter or non-gravitational fields are present.
Noteworthy examples of vacuum solutions, electrovacuum solutions, and so forth, are listed in specialized articles (see below). These solutions contain at most one contribution to the energy–momentum tensor, due to a specific kind of matter or field. However, there are some notable exact solutions which contain two or three ...
The Kerr-Newman and Reissner-Nordström spacetimes are examples of electrovacuum solutions. Metric Tensor ¶. The metric tensor denotes a solution to the EFE. As such, it is a fundamental entity in general relativity, that captures the geometry of spacetime. It is a symmetric, indefinite rank-2 tensor, which can be represented by a matrix.
6.1: Event Horizons. One seemingly trivial way to generate solutions to the field equations in vacuum is simply to start with a flat Lorentzian spacetime and do a change of coordinates. This might seem pointless, since it would simply give a new description (and probably a less convenient and descriptive one) of the same old, boring, flat ...
A classical question in general relativity is classifying regular static black hole solutions of the static Einstein–Maxwell equations (or electrovacuum system). We prove some classification results for an electrovacuum system such that the electric potential is a smooth function of the lapse function. We particularly show that an n-dimensional locally conformally flat electrovacuum space ...
Vacuum. Vacuum pump and bell jar for vacuum experiments, used in science education during the early 20th century, on display in the Schulhistorische Sammlung ('School Historical Museum'), Bremerhaven, Germany. A vacuum ( pl.: vacuums or vacua) is space devoid of matter. The word is derived from the Latin adjective vacuus (neuter vacuum) meaning ...
