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- The spacetime metric is, in Boyer-Lindquist coordinates, This represents the exact solution to [[General relativity/Einstein equations]] for the stress-energy tensor for an electromagnetic fi ...7 KB (1,219 words) - 17:33, 15 April 2024
- It is an exact vacuum solution to [[General relativity/Einstein equations]], and according to the Birkoff theorem, all spherically ...bing it into the radial coordinate. So we will start with a trial solution of ...11 KB (1,940 words) - 19:31, 24 March 2018
- ...nd FRW are very common. The line element expressed in a very common choice of coordinates can be written ...curved universe, k=0 is the case of a flat universe, and k = 1 is the case of a positively curved universe. ...8 KB (1,148 words) - 18:40, 24 March 2018
- ...due to shift along the [[scale dimension]] also are included in the scope of the MTR. == Creation of MTR == ...23 KB (3,730 words) - 02:32, 5 April 2023
Page text matches
- ...the mathematical [[../PreciseIdea/|concept]] representing transformations of such spacetimes that are either expanding or `transforming' ...f the [[../10DBrane/|superstring]] `theories'). Other, possible, conformal theory developments based on Einstein's ...3 KB (369 words) - 16:12, 4 October 2023
- ...the mathematical [[../PreciseIdea/|concept]] representing transformations of such spacetimes that are either expanding or `transforming' ...f the [[../10DBrane/|superstring]] `theories'). Other, possible, conformal theory developments based on Einstein's ...3 KB (337 words) - 16:12, 4 October 2023
- The D'Alembertian is the equivalent of the [[../LaplaceOperator/|Laplacian]] in Minkowskian geometry. It is given ...ite both [[../QuantumOperatorAlgebra4/|operators]] and their corresponding metric. ...2 KB (337 words) - 13:21, 11 October 2023
- ...ules/LIGHTCONE/index.html The Light Cone - an illuminating introduction to relativity] ;Lorentz metric: ...7 KB (1,009 words) - 02:15, 20 January 2025
- ...this idea is well known as a linear approximation to Einstein's theory of relativity. See, for example: ==Four potential theory of gravitation== ...6 KB (989 words) - 21:56, 22 December 2023
- ...e of spacetime. In fact, "general relativity" and "Einstein's formulation of gravity" are nearly synonymous in many people's minds. The general theory of relativity was first published by [[Albert Einstein]] in 1916. ...20 KB (3,197 words) - 02:31, 5 April 2023
- ...hanics (Galilean relativity) that deals with the consequences of the speed of light being the same for all observers. ...y of <math>v</math> between the frames, the x,x' component of the velocity of a test particle is related between the frames according to: ...14 KB (2,384 words) - 07:59, 19 May 2023
- ...rnative formulations of GR Field Equations and the fate and current status of [[../BlackHoles/|black hole]] conjectures. The interested reader may click ===Einstein's Field Equations in General Relativity=== ...6 KB (843 words) - 14:21, 10 October 2023
- ...ant derivative of the acceleration stress-energy tensor determines density of [[four-force]] acting on matter particles. == Covariant theory of gravitation== ...14 KB (2,345 words) - 05:37, 16 February 2025
- ...riant derivative of pressure field stress-energy tensor determines density of pressure force acting on matter. ...es any internal stresses, including stresses in the absence of deformation of bodies from external influences. ...17 KB (2,710 words) - 05:46, 16 February 2025
- ...would perceive their world to be bowl shaped. Curve (a) describes the path of light. Curve (b) is a straight line, but its equation is rendered complicat ...map for deriving linearized relativity in a way that unveils the breakdown of Euclidean geometry.]] ...8 KB (1,348 words) - 04:59, 29 March 2024
- ...veGeometry4/|manifold]] <math>\S_C</math>-- and then by using the calculus of variations minimizing this length. In physical ...minimization of [[../CosmologicalConstant/|energy]] as well as the length of the curve. ...3 KB (516 words) - 15:28, 12 September 2020
- ...n, [[../Albert Einstein|Einstein's]] classical approach to [[../SR|general relativity]] ([[../SR|GR]]). Whereas a classical Riemannian manifold has a ...e Geometry 4|noncommutative geometry]]) approaches attempt to define a QST metric not by a ''Riemannian tensor'' --as in the classical GR case-- but in [[.. ...4 KB (535 words) - 15:53, 12 September 2020
- ...dissipation force acting on the matter and retarding the movement of flows of matter relative to each other. The dissipation stress-energy tensor is relativistic generalization of the three-dimensional [[w:viscous stress tensor | viscous stress tensor]] u ...15 KB (2,449 words) - 17:01, 29 November 2020
- ...due to shift along the [[scale dimension]] also are included in the scope of the MTR. == Creation of MTR == ...23 KB (3,730 words) - 02:32, 5 April 2023
- ...tial operator |differential operator]] and the relativistic generalization of [[w:material derivative | material derivative]] (substantial derivative) in where <math> ~ D </math> – the symbol of differential in curved spacetime, ...7 KB (1,110 words) - 10:41, 31 January 2025
- ...associated with the [[w:invariant mass |invariant mass]] <math>~ M </math> of the particle by the equation: where <math>~c</math> is the [[table of physical constants |speed of light]]. ...13 KB (2,193 words) - 19:55, 13 December 2019
- ...ced at a given point of the field, to gravitational mass <math>~ M </math> of this particle: ...[http://vixra.org/abs/1209.0111 Electromagnetic and Gravitational Pictures of the World.] Apeiron, 2007, Vol. 14, No. 4, P. 385 – 413. </ref> ...18 KB (2,796 words) - 17:34, 15 January 2025
- ...ariant derivative of gravitational stress-energy tensor determines density of gravitational force acting on matter. == Lorentz-invariant theory of gravitation (LITG) == ...30 KB (4,693 words) - 12:03, 15 February 2025
- ...ars]]. Both [[../SR/|special relativity]] (Lorentz covariance) and general relativity (general covariance) use covariant basis vectors. ...the same footing. This is of basic importance in the practical application of tensors. ...10 KB (1,521 words) - 05:03, 12 September 2020