Hyperbolic motion is the motion of an object with constant proper acceleration in special relativity. It is called hyperbolic motion because the equation...

spacetime in general relativity. In the case of hyperbolic motion one can use Rindler coordinates, in the case of uniform circular motion one can use Born...

In physics, the relativity of simultaneity is the concept that distant simultaneity – whether two spatially separated events occur at the same time – is...

respectively. Hyperbolic geometry enters special relativity through rapidity, which stands in for velocity, and is expressed by a hyperbolic angle. The study...

expression "hyperbolic motion". He noted that uniform acceleration can be used as an approximation for any form of acceleration within special relativity. In...

known as the principle of relativity. The speed of light in vacuum is the same for all observers, regardless of the motion of light source or observer...

the eccentricity. However, with a hyperbolic orbit other parameters may be more useful in understanding a body's motion. The following table lists the main...

Since in relativity any velocity v is constrained to the interval −c < v < c the ratio v / c satisfies −1 < v / c < 1. The inverse hyperbolic tangent has...

are a coordinate system used in the context of special relativity to describe the hyperbolic acceleration of a uniformly accelerating reference frame...

spacetime, called Minkowski space (see special relativity). The idea behind spacetime is that time is hyperbolic-orthogonal to each of the three spatial dimensions...

The theory of relativity usually encompasses two interrelated physics theories by Albert Einstein: special relativity and general relativity, proposed and...

framework of special relativity (see Acceleration (special relativity), Proper reference frame (flat spacetime), Hyperbolic motion, Rindler coordinates...

Mass Meets Hyperbolic Geometry, Abraham A. Ungar, Commun. Math. Anal. Volume 10, Number 1 (2011), 30–56. Silagadze, Z. K. (2008), "Relativity without tears"...

quadrant of absolute temperature and gas density. For hyperbolic coordinates in the theory of relativity see the History section. Comparative study of population...

General relativity, also known as the general theory of relativity, and as Einstein's theory of gravity, is the geometric theory of gravitation published...

195–219, Academic Press, N.Y. Richard C. Tolman (2004) Theory of Relativity of Motion, page 194, §180 Non-Euclidean angle, §181 Kinematical interpretation...

Albert Einstein presented the theories of special relativity and general relativity in publications that either contained no formal references to previous...

Mach's principle.[page needed] There is a fundamental issue in relativity theory: if all motion is relative, how can we measure the inertia of a body? We must...

entirety of special relativity. The spacetime concept and the Lorentz group are closely connected to certain types of sphere, hyperbolic, or conformal geometries...

velocity between them (special relativity), or a difference in gravitational potential between their locations (general relativity). When unspecified, "time...

is a motion. More generally, the term motion is a synonym for surjective isometry in metric geometry, including elliptic geometry and hyperbolic geometry...

spaces in relativity. If the dynamics of a system is known, the equations are the solutions for the differential equations describing the motion of the dynamics...

Galilean transformation Hyperbolic rotation Lorentz group Representation theory of the Lorentz group Principle of relativity Velocity-addition formula...

development of the non-euclidean style [of relativity], unfolding Minkowski's image of velocity-vector relations in hyperbolic space, and recapitulating a variety...

another standard model of hyperbolic geometry. Hyperbolic quaternion Hyperspace Introduction to the mathematics of general relativity Minkowski plane This...

In geometry, hyperbolic angle is a real number determined by the area of the corresponding hyperbolic sector of xy = 1 in Quadrant I of the Cartesian plane...

In the general theory of relativity, the Einstein field equations (EFE; also known as Einstein's equations) relate the geometry of spacetime to the distribution...

In physics, the principle of relativity is the requirement that the equations describing the laws of physics have the same form in all admissible frames...

the context of general relativity, it means the problem of finding solutions to Einstein's field equations — a system of hyperbolic partial differential...

left-handed circular polarization. In special relativity, a time axis determined by a rapidity of motion is hyperbolic-orthogonal to a space axis of simultaneous...