Correlations between supermassive black holes, hot atmospheres, and the total masses of early type galaxies. (arXiv:1904.10513v1 [astro-ph.GA])
<a href="http://arxiv.org/find/astro-ph/1/au:+Lakhchaura_K/0/1/0/all/0/1">K. Lakhchaura</a>, <a href="http://arxiv.org/find/astro-ph/1/au:+Truong_N/0/1/0/all/0/1">N. Truong</a>, <a href="http://arxiv.org/find/astro-ph/1/au:+Werner_N/0/1/0/all/0/1">N. Werner</a>

We present a study of relations between the masses of the central
supermassive black holes (SMBHs) and the atmospheric gas temperatures and
luminosities measured within the effective radii, for a sample of 41 early-type
galaxies observed by the Chandra X-ray Observatory. We report the discovery of
a tight correlation between the atmospheric temperatures of the brightest
cluster/group galaxies (BCGs) and their central SMBH masses, making the
atmospheric gas temperature the best known proxy for SMBH masses in these
systems. Furthermore, our hydrostatic analysis reveals a linear correlation
between the total masses of BCGs ($M_{rm tot}$) and their central SMBH masses
($M_{rm BH}$). In the scenario of a simultaneous growth of central SMBHs and
their host galaxies through mergers, the observed linear correlation is a
natural consequence of the central limit theorem. On the other hand, quasar
mode feedback would lead to a significantly steeper $M_{rm BH}$-$M_{rm tot}$
relation and radio mode feedback would not affect the dark matter components of
the galaxies. The observed correlations between the massive dark matter
dominated galaxies and their central SMBHs must thus be largely non-causal and
most likely, a result of the simultaneous growth of BCGs and their SMBHs by
mergers.

We present a study of relations between the masses of the central
supermassive black holes (SMBHs) and the atmospheric gas temperatures and
luminosities measured within the effective radii, for a sample of 41 early-type
galaxies observed by the Chandra X-ray Observatory. We report the discovery of
a tight correlation between the atmospheric temperatures of the brightest
cluster/group galaxies (BCGs) and their central SMBH masses, making the
atmospheric gas temperature the best known proxy for SMBH masses in these
systems. Furthermore, our hydrostatic analysis reveals a linear correlation
between the total masses of BCGs ($M_{rm tot}$) and their central SMBH masses
($M_{rm BH}$). In the scenario of a simultaneous growth of central SMBHs and
their host galaxies through mergers, the observed linear correlation is a
natural consequence of the central limit theorem. On the other hand, quasar
mode feedback would lead to a significantly steeper $M_{rm BH}$-$M_{rm tot}$
relation and radio mode feedback would not affect the dark matter components of
the galaxies. The observed correlations between the massive dark matter
dominated galaxies and their central SMBHs must thus be largely non-causal and
most likely, a result of the simultaneous growth of BCGs and their SMBHs by
mergers.

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