Relativity

Velocities of the same body in two frames of reference (see text).

In physics, the problem of how physical laws and measurements change when considered by observers in various states of motion. Thus, relativity is concerned with measurements made by different observers moving relative to one another. In classical physics it was assumed that all observers anywhere in the universe, whether moving or not, obtained identical measurements of space and time intervals. According to relativity theory, this is not so, but their results depend on their relative motions.

There are actually two distinct theories of relativity known in physics, one called the special theory of relativity, the other the general theory of relativity. Albert Einstein proposed the first in 1905, the second in 1916. Whereas the special theory of relativity is concerned primarily with electric and magnetic phenomena and with their propagation in space and time, the general theory of relativity was developed primarily in order to deal with gravitation. Both theories centre on new approaches to space and time, approaches that differ profoundly from those useful in everyday life; but relativistic notions of space and time are inextricably woven into any contemporary interpretation of physical phenomena ranging from the atom to the universe as a whole.

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Contents:

Introduction
    The special theory of relativity
       Historical background
       Relativity of space and time
       Consequences
          The limiting character of the speed of light
          Variable mass
          Invariant intervals
          The "twin paradox"
          Four-dimensional space-time
    The general theory of relativity
       Physical origins
       The principle of equivalence
       Curved space-time
          The principles
          The mathematical expression
       Confirmation of the theory
          Advance of Mercury's perihelion
          Gravitational redshift
          Optical effects of gravitation
          Gravitational waves
          Future astrophysical tests
       Conceptual implications of general relativity
       Schwarzschild's solution of the field equations
    Applications of relativistic principles
       Particle accelerators
       Relativistic particle physics
       Relativistic cosmology
    Modifications of general relativity
    Bibliography