Etherington reciprocity theorem

E528109

The Etherington reciprocity theorem is a fundamental result in relativistic cosmology that links luminosity distance and angular diameter distance, underpinning observational tests of the expanding universe.

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Etherington reciprocity theorem canonical 1

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Predicate Object
instanceOf cosmological distance duality relation ⓘ
theorem in relativistic cosmology ⓘ
alsoKnownAs Etherington distance duality ⓘ
distance duality relation ⓘ
appliesTo Friedmann–Lemaître–Robertson–Walker cosmologies ⓘ
any metric spacetime with null geodesic light propagation ⓘ
assumes metric theory of gravity ⓘ
no exotic photon absorption or conversion ⓘ
photon number conservation ⓘ
photons travel on null geodesics ⓘ
category results in general relativity ⓘ
theorems in cosmology ⓘ
field cosmology ⓘ
general relativity ⓘ
holdsIf light propagation is reversible ⓘ
spacetime is described by a metric theory ⓘ
implies cosmological distance duality ⓘ
involvesQuantity angular diameter distance d_A ⓘ
luminosity distance d_L ⓘ
redshift z ⓘ
mathematicalForm relation between area distance and luminosity distance ⓘ
namedAfter I. M. H. Etherington ⓘ
publishedIn Philosophical Magazine ⓘ
relatedConcept Hubble–Lemaître law ⓘ
cosmological distance ladder ⓘ
relates angular diameter distance ⓘ
luminosity distance ⓘ
statedAs d_L = (1+z)^2 d_A ⓘ
testedUsing Type Ia supernovae ⓘ
baryon acoustic oscillations ⓘ
cosmic microwave background observations ⓘ
galaxy cluster X-ray and Sunyaev–Zel’dovich observations ⓘ
strong gravitational lensing systems ⓘ
underpins interpretation of angular diameter distance measurements ⓘ
interpretation of luminosity distance measurements ⓘ
observational tests of cosmic acceleration ⓘ
observational tests of the expanding universe ⓘ
usedFor comparing supernova and galaxy cluster distance measurements ⓘ
consistency checks between different cosmological observations ⓘ
constraining deviations from general relativity ⓘ
probing photon-axion or photon-dark sector couplings ⓘ
testing the expansion of the universe ⓘ
testing the standard cosmological model ⓘ
violatedBy non-metric theories of gravity ⓘ
opacity of the universe ⓘ
photon number non-conservation ⓘ
yearProposed 1933 ⓘ

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Tolman surface brightness test → relatedTo → Etherington reciprocity theorem ⓘ