The number of galaxies as a function of the redshift is derived in the framework of the generalized tired light hypothesis. Two new formulae are derived for the flux and the apparent magnitude as functions of the redshift. An application is made to four catalogs of galaxies: 2MRS, SDSS, Glade+ and Ultravista. The role of the limiting apparent magnitude of the position in redshift for the photometric maximum for galaxies is analysed.
References
[1]
Dainotti, M.G., Bargiacchi, G., Bogdan, M., Capozziello, S. and Nagataki, S. (2024) On the Statistical Assumption on the Distance Moduli of Supernovae Ia and Its Impact on the Determination of Cosmological Parameters. JournalofHighEnergyAstrophysics, 41, 30-41. https://doi.org/10.1016/j.jheap.2024.01.001
[2]
Bhardwaj, A., Riess, A.G., Catanzaro, G., Trentin, E., Ripepi, V., Rejkuba, M., et al. (2023) High-Resolution Spectroscopic Metallicities of Milky Way Cepheid Standards and Their Impact on the Leavitt Law and the Hubble Constant. TheAstrophysicalJournalLetters, 955, L13. https://doi.org/10.3847/2041-8213/acf710
[3]
Schechter, P. (1976) An Analytic Expression for the Luminosity Function for Galaxies. TheAstrophysicalJournal, 203, 297-306. https://doi.org/10.1086/154079
[4]
Padmanabhan, T. (1996) Cosmology and Astrophysics through Problems. Cambridge University Press.
[5]
Padmanabhan, P. (2002) Theoretical Astrophysics. Vol. III: Galaxies and Cosmology. Cambridge University Press.
[6]
Zaninetti, L. (2024) Classical Cosmology III. Modified Tired Light and Distance Modulus for Supernovae. Journal of High Energy Physics, Gravitation and Cosmology, 10, 1538-1550. https://doi.org/10.4236/jhepgc.2024.104086
[7]
Huchra, J.P., Macri, L.M., Masters, K.L., Jarrett, T.H., Berlind, P., Calkins, M., et al. (2012) The 2MASS Redshift Survey—Description and Data Release. TheAstrophysicalJournalSupplementSeries, 199, Article 26. https://doi.org/10.1088/0067-0049/199/2/26
[8]
Alam, S., Albareti, F.D., Allende Prieto, C., et al. (2015) The Eleventh and Twelfth Data Releases of the Sloan Digital Sky Survey: Final Data from SDSS-III. arXiv: 1501.00963
[9]
Dálya, G., Díaz, R., Bouchet, F.R., Frei, Z., Jasche, J., Lavaux, G., et al. (2022) GLADE+: An Extended Galaxy Catalogue for Multimessenger Searches with Advanced Gravitational-Wave Detectors. Monthly Notices of the Royal Astronomical Society, 514, 1403-1411. https://doi.org/10.1093/mnras/stac1443
[10]
Muzzin, A., Marchesini, D., Stefanon, M., Franx, M., Milvang-Jensen, B., Dunlop, J.S., et al. (2013) A Public Ks-Selected Catalog in the Cosmos/ULTRAVISTA Field: Photometry, Photometric Redshifts, and Stellar Population Parameters. TheAstrophysicalJournalSupplementSeries, 206, Article 8. https://doi.org/10.1088/0067-0049/206/1/8
