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Ehlers–Geren–Sachs theorem

Index Ehlers–Geren–Sachs theorem

The Ehlers–Geren–Sachs theorem, published in 1968 by Jürgen Ehlers, P. Geren and Rainer K. Sachs, shows that if, in a given universe, all freely falling observers measure the cosmic background radiation to have exactly the same properties in all directions (that is, they measure the background radiation to be isotropic), then that universe is an isotropic and homogeneous FLRW spacetime, if the one uses a kinetic picture and the collision term vanishes, i.e. in the so-called Vlasov case or if there is a so-called detailed balance. [1]

10 relations: Copernican principle, Cosmic background radiation, Earth, Friedmann–Lemaître–Robertson–Walker metric, George F. R. Ellis, Jürgen Ehlers, Kelvin, Rainer K. Sachs, The Large Scale Structure of Space-Time, Thermal radiation.

Copernican principle

In physical cosmology, the Copernican principle, is an alternative name of the mediocrity principle, or the principle of relativity, stating that humans (the Earth, or the Solar system) are not privileged observers of the universe.

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Cosmic background radiation

Cosmic background radiation is electromagnetic radiation from the big bang.

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Earth

Earth is the third planet from the Sun and the only astronomical object known to harbor life.

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Friedmann–Lemaître–Robertson–Walker metric

The Friedmann–Lemaître–Robertson–Walker (FLRW) metric is an exact solution of Einstein's field equations of general relativity; it describes a homogeneous, isotropic, expanding or contracting universe that is path connected, but not necessarily simply connected.

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George F. R. Ellis

George Francis Rayner Ellis, FRS, Hon.

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Jürgen Ehlers

Jürgen Ehlers (29 December 1929 – 20 May 2008) was a German physicist who contributed to the understanding of Albert Einstein's theory of general relativity.

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Kelvin

The Kelvin scale is an absolute thermodynamic temperature scale using as its null point absolute zero, the temperature at which all thermal motion ceases in the classical description of thermodynamics.

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Rainer K. Sachs

Rainer Kurt "Ray" Sachs (born June 13, 1932) is a German-American computational radiation biologist and astronomer.

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The Large Scale Structure of Space-Time

The Large Scale Structure of Space-Time is 1973 book by Stephen Hawking and George Ellis on the theoretical physics of spacetime.

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Thermal radiation

Thermal radiation is electromagnetic radiation generated by the thermal motion of charged particles in matter.

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References

[1] https://en.wikipedia.org/wiki/Ehlers–Geren–Sachs_theorem

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