When can we compute analytically lookback time, age of the universe, and luminosity distance?

In Friedmann–Lemaître–Robertson–Walker cosmology, it is sometimes possible to compute analytically lookback time, age of the universe, and luminosity distance versus redshift, expressing them in terms of a finite number of elementary functions. We classify these situations using the Chebyshev theore...

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Bibliographic Details
Published in:The European physical journal. C, Particles and fields Particles and fields, 2022-06, Vol.82 (6), p.557-557, Article 557
Main Authors: Jose, Sonia, Leblanc, Alexandre, Faraoni, Valerio
Format: Article
Language:English
Subjects:
Age
Approximation
Astronomy
Astrophysics and Cosmology
Chebyshev approximation
Cosmology
Elementary Particles
Fluids
Hadrons
Heavy Ions
Luminosity
Measurement Science and Instrumentation
Nuclear Energy
Nuclear Physics
Physics
Physics and Astronomy
Present value
Quantum Field Theories
Quantum Field Theory
Red shift
Regular - Theoretical Physics
Regular Article - Theoretical Physics
String Theory
Universe
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Summary:In Friedmann–Lemaître–Robertson–Walker cosmology, it is sometimes possible to compute analytically lookback time, age of the universe, and luminosity distance versus redshift, expressing them in terms of a finite number of elementary functions. We classify these situations using the Chebyshev theorem of integration and providing examples.
ISSN:1434-6052
1434-6044
1434-6052
DOI:10.1140/epjc/s10052-022-10519-2