The general relativistic geometry of the Navarro-Frenk-White model

Tonatiuh~Matos. , Darío~Núñez.

Abstract


We derive the space time geometry associated with the Navarro-Frenk-White dark matter galactic halo model. We discuss several properties of this geometry, paying particular attention to the corresponding Newtonian limit and stressing the qualitative and quantitative nature of the differences between the relativistic and Newtonian descriptions. We also discuss the characteristics of the possible stress energy tensors which could produce such a geometry, using Einstein's equations.

Keywords


Dark matter; relativity, gravitation; cosmology

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REVISTA MEXICANA DE FÍSICA, year 67, issue 2, March-April 2021. Bimonthly Journal published by Sociedad Mexicana de Física, A. C. Departamento de Física, 2º Piso, Facultad de Ciencias, Universidad Nacional Autónoma de México, Ciudad Universitaria, Alcaldía Coyacán, C.P. 04510 , Ciudad de México. Apartado Postal 70-348. Tel. (+52)55-5622-4946, https://rmf.smf.mx/ojs/rmf, e-mail: rmf@ciencias.unam.mx. Chief Editor: José Alejandro Ayala Mercado. INDAUTOR Certificate of Reserve: 04-2019-080216404400-203, ISSN: 2683-2224 (on line), 0035-001X (print), both granted by Instituto Nacional del Derecho de Autor. Responsible for the last update of this issue, Technical Staff of Sociedad Mexicana de Física, A. C., Fís. Efraín Garrido Román, 2º. Piso, Facultad de Ciencias, Universidad Nacional Autónoma de México, Ciudad Universitaria, Alcaldía Coyacán, C.P. 04510 , Ciudad de México. Date of last modification, March 1st., 2021.

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