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Higher-dimensional Einstein gravity is any of various physical theories that attempt to generalise to higher dimensions various results of the well established theory of standard (four-dimensional) Albert Einstein's gravitational theory, that is, general relativity.
General relativity, also known as the general theory of relativity, and as Einstein's theory of gravity, is the geometric theory of gravitation published by Albert Einstein in 1915 and is the current description of gravitation in modern physics.
By 1904, Lorentz had expanded his theory such that he had arrived at equations formally identical with those that Einstein was to derive later, i.e. the Lorentz transformation. [15] As a theory of dynamics (the study of forces and torques and their effect on motion), his theory assumed actual physical deformations of the physical constituents ...
Albert Einstein believed space and time made up a fourth dimension. An example from a string theorist gives a view of what a fourth dimension could be. We move through three dimensions.
Albert Einstein, physicist, 1879-1955, Graphic: Heikenwaelder Hugo,1999 Special relativity is a theory of the structure of spacetime . It was introduced in Einstein's 1905 paper " On the Electrodynamics of Moving Bodies " (for the contributions of many other physicists and mathematicians, see History of special relativity ).
In Einstein's theory of relativity, the path of an object moving relative to a particular frame of reference is defined by four coordinate functions x μ (τ), where μ is a spacetime index which takes the value 0 for the timelike component, and 1, 2, 3 for the spacelike coordinates.
Although the Einstein field equations were initially formulated in the context of a four-dimensional theory, some theorists have explored their consequences in n dimensions. [9] The equations in contexts outside of general relativity are still referred to as the Einstein field equations.
When studying and formulating Albert Einstein's theory of general relativity, various mathematical structures and techniques are utilized. The main tools used in this geometrical theory of gravitation are tensor fields defined on a Lorentzian manifold representing spacetime. This article is a general description of the mathematics of general ...