The fundamental plane of brightest cluster galaxies and isolated elliptical galaxies

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ORIGINAL ARTICLE

The fundamental plane of brightest cluster galaxies and isolated elliptical galaxies R.M. Samir1

· A. Takey1,2 · A.A. Shaker1

Received: 20 November 2019 / Accepted: 17 August 2020 © Springer Nature B.V. 2020

Abstract This work aims to investigate the fundamental plane, the Kormendy, the Faber-Jackson, and the sizeluminosity relations for two galaxy samples (brightest cluster galaxies (BCGs) and isolated elliptical galaxies (IEs)) in different environments. These relations are investigated in different wavelength bands, griz, of the Sloan Digital Sky Survey (SDSS). We constructed a sample of 2002 BCGs from the redMaPPer clusters catalog with spectroscopic redshifts in the range (0.076  z  0.394). The sample of IEs consists of 550 objects and is extracted from the catalog of isolated galaxies (SDSS-based Isolated Galaxies, SIG) with spectroscopic redshifts range (0.01  z  0.08). In general, we found that slopes of all studied scaling relations are waveband dependent except for the Faber-Jackson relation. The fundamental plane (FP) for both samples steepens as one moves from shorter to longer wavelengths. We found that BCGs lie on a different FP from that of IEs. In average the coefficient a of BCGs is larger than that of IEs by about 5σ , while the coefficient b is larger by about 11σ . By studying the Kormendy relation (KR), we found that its slope varies through the waveband for both samples. Also, the slope of BCGs is smaller than that of IEs by about 7σ , while the intercept is smaller by about 12σ . We also examined the Faber-Jackson (FJ) relation and found that its slope

B R.M. Samir

[email protected] A. Takey [email protected] A.A. Shaker [email protected]

1

National Research Institute of Astronomy and Geophysics (NRIAG), 11421 Helwan, Cairo, Egypt

2

Hiroshima Astrophysical Science Center, Hiroshima University, 1-3-1 Kagamiyama, Higashi-Hiroshima, Hiroshima 739-8526, Japan

is similar for all wavebands for both samples. BCGs defines a steeper FJ relation than IEs such that L ∝ σ 6.25 for BCGs and L ∝ σ 2.63 for IEs. We also studied the size-luminosity relation and found that its slope is decreasing slightly with waveband for both samples. We also found that BCGs define a steeper size-luminosity relation than IEs, in average the slope of BCGs is greater than that of IEs by ∼ 7σ . Keywords Brightest cluster galaxies · Isolated elliptical galaxies · Fundamental plane · Faber-Jackson relation · Size-luminosity relation · Evolution

1 Introduction The study of the relation between galaxy properties and their group or cluster environment is very important for understanding the formation and evolution of galaxies (Shaker et al. 1998; Samir et al. 2011, 2016). An effective method to study the environmental effect on the evolution of galaxies is to compare the properties of galaxies located in dense environments with those isolated galaxies. Isolated galaxies are objects that have not been appreciably affected by an external influence of their environments for at least a few