The Sersic Virial Hyperplane

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dc.creatorCapozziello, S.
dc.creatorCardone, V. F.
dc.creatorMolinaro, R.
dc.creatorSalzano, V.
dc.date2007-03-20
dc.date.accessioned2026-07-07T07:52:43Z
dc.date.available2026-07-07T07:52:43Z
dc.descriptionEarly-type galaxies (ETGs) are known to possess a number of quite useful scaling relations among their photometric and/or kinematical quantities. We propose a unified picture reducing both the fundamental plane and the photometric plane to suitable projections of a single relation. Modelling the ETG as a two component system, made out of a luminous Sersic profile and a NFW dark halo, and applying the virial theorem, we are able to express the velocity dispersion σ_0 as a function of the effective intensity I_e, the effective radius R_e and the Sersic index n. In a log-log plot, this relation reduces to a hyperplane (i.e., a plane in a four dimensional configuration space) which we dubbed the {\it Sersic Virial Hyperplane} (SVH). The tilt of the SVH can be fully explained in terms of a power-law scaling of the stellar (rather than the global) mass-to-light ratio Upsilon with the total luminosity L_T, while the scatter is determined by those on the c-M_{vir} relation between the concentration c and the virial mass M_{vir} of the dark halo component. In order to test whether such the observed SVH is consistent with the theoretical assumptions, we perform a detailed simulation of a large ETGs sample reproducing the same photometric properties of a SDSS low redshift ETGs catalog. It turns out that the simulated SVH is fully consistent with the observed one thus validating our theoretical approach.
dc.description14 pages, 4 figures
dc.identifierhttps://arxiv.org/abs/astro-ph/0703532
dc.identifierhttp://arxiv.org/abs/astro-ph/0703532
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/125981
dc.subjectAstrophysics
dc.titleThe Sersic Virial Hyperplane
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