Statistical description of galaxy clusters in Finzi model of gravity

TL;DR

This paper explores a new gravity theory by Finzi, analyzing galaxy cluster thermodynamics, clustering behavior, and phase transitions, and compares theoretical predictions with SDSS-III data.

Contribution

It introduces a thermodynamic framework for galaxy clusters within Finzi's modified gravity model, highlighting differences from Newtonian gravity and potential phase transitions.

Findings

Stronger large-scale gravity interaction affects cluster thermodynamics.

Clustering parameter behavior differs from Newtonian predictions.

Evidence suggests possible hierarchical phase transitions.

Abstract

We exploit a new theory of gravity proposed by Finzi, which gives stronger interaction at large scales, to study the thermodynamic description of galaxy clusters. We employ a statistical model to deduce various thermodynamics equations of state. In addition, we analyze the behavior of clustering parameter in comparison to its standard (Newtonian) counterpart. The general distribution function and its behavior with varying strength of clustering parameter are also studied. The possibility of phase transition is investigated and it is observed that a phase transition is possible though hierarchically. We also analyze the model by comparing the results with data available through SDSS-III, and obtain the parameters involved.