Curvature of Spacetime
A notion associated with the description of spacetime in terms of Riemannian geometry. One distinguishes.
CURVATURE OF SPACE-TIME
The curvature of space-time is a distortion of space-time that is caused by the gravitational field of matter.
The curvature of spacetime (caused by the presence of stress-energy) can be viewed intuitively in the following way. Placing a heavy object such as a bowling ball on a trampoline will produce a 'dent' in the trampoline.
"Measuring the curvature of space caused by gravity is one of the most sensitive ways to learn how Einstein's theory of General Relativity relates to quantum physics," says Sergei Kopeikin of the University of Missouri.
Depends on Mass (Curvature of Space)
Critical density
Is The Universe Open or Closed?
Dark Matter Observations:
Orbital speeds of stars in galaxies
Faint gas shells around ellipticals
Motion of galaxies in a cluster
Hot gas in clusters ...
singularity (High Energy Astrophysics Dictionary- GSFC) The center of a black hole, where the curvature of spacetime is maximal.
Such a term would produce a repulsive antigravity force at very large distances and would correspond to energy locked up in the curvature of space-time itself. [CD99] ...
There has been experimental evidence for the curvature of spacetime by a massive object since the early part of this century (1922), when observers set out to test the predictions of general relativity.
We can loosely summarize its description of the universe by saying that the presence of matter or energy causes a curvature of space (more correctly, spacetime) and that the curved trajectories of freely falling particles within warped space are ...
One consequence of general relativity is that the curvature of space depends on the ratio of rho to rho(crit). We call this ratio Ω = rho/rho(crit). For Ω less than 1, the Universe has negatively curved or hyperbolic geometry.
In each case, where general relativity fails as the curvature of space-time invokes singularities from its equations at t=0, the statistically "grey" nature of quantum cosmology tends to allow a scientific rationale to account for each paradox, ...
Everything within the event horizon is irreversibly drawn towards this point where the curvature of spacetime becomes infinite and gravity is infinitely strong.
The orbit of a particle near a black hole depends on the curvature of space around the black hole, which also depends on how fast the black hole is spinning.
SINGULARITY - Regions of space where the density of matter, or the curvature of space-time, becomes infinite and the concepts of space and time cease to have any meaning.
Albert Einstein was able to show that gravity was due to curvature of space-time and was able to remove the assumption of Newton that changes propagate instantaneously.
The center of a black hole, where the curvature of spacetime is maximal. At the singularity, the gravitational tides diverge; no solid object can even theoretically survive hitting the singularity.
At the center of the black hole, well inside the event horizon, general relativity predicts a singularity, a place where the curvature of spacetime becomes infinite and gravitational forces become infinitely strong.
The curvature of space-time is a distortion of space-time that is caused by the gravitational field of matter.
Definition: singularity: In astronomy, a term often used to refer to the center of a black hole, where the curvature of spacetime is maximal.
When the star (or supernova remnant) shrinks below a certain size determined by its mass, the extreme curvature of space seals off contact with the outside world.
Because of this universality, gravity is believed to be a manifestation of the curvature of space-time caused by matter and energy, and is described by the Einstein Equation of General Relativity.
Black Hole - A region of space from which no matter or radiation can escape. A black hole is a result of the extreme curvature of space by a massive compact body
Blackbody - An object that is a perfect absorber of radiation falling on it ...
the theory of relativity governing accelerated motion that describes gravity as a curvature of space-time
german equatorial mount ...
general theory of relativity: Einstein's more sophisticated theory of space and time, which describes gravity as a curvature of space-time.
geocentric universe: A model universe with Earth at the center, such as the Ptolemaic universe.
General Relativity expands the theory of special relativity to include acceleration and gravity, both of which are explained via the curvature of space-time. His theories explained the perturbations in the orbits of Mercury.
relativity, general theory A theory formulated by Einstein that describes how a gravitational field can by replaced by a curvature of space-time.
General relativity, which relates the gravitational force to the curvature of space-time, provides a respectable theory of gravity on a larger scale.
Observers can not distinguish locally between inertial forces due to acceleration and uniform gravitational forces due to the presence of a massive body. Mass tells space-time how to curve, and the curvature of space-time (gravity) tells mass how to ...
Likewise, the gravitational field can have waves that carry energy and are called gravitational waves. These may be thought of as ripples in the curvature of spacetime that travel at the speed of light.
The lifecycle of stars; white dwarves, neutron stars, black holes,
The end of the Sun and of Earth, supernovae, red giants, pulsars
Radioactivity and cosmic rays
Gravity and its effects; gravity as the curvature of space-time, ...
Third, the curvature index k determines the sign of the mean spatial curvature of spacetime
Spacetime ...
 See also: Universe, Energy, Gravitation, Mass, Gravity
  
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