Mohammad Hossein Namdar

Department of Physics, Sharif University of Technology

Cosmological Structure Formation in Monge-Ampère Gravity 

 

Abstract: The Monge-Ampère gravity is a novel and effective mathematical theory in the formation of cosmic structures, proposed with the aim of generalizing classical Newtonian gravity. This theory is based on the Monge-Ampère equation, a nonlinear version of the Poisson equation that relates the determinant of the Hessian of the potential to the density field. We precisely demonstrate how the Poisson equation can be derived from the Monge-Ampère equation in the weak field limit. Subsequently, we analytically solve the equation for a point mass density distribution under the assumption of spherical symmetry. We further investigate structure formation in the presence of this gravity and determine the critical density required for structure formation using the spherical collapse approximation in both linear and nonlinear regimes. Finally, we examine the statistics of the halos formed under this gravity. Although we consider Monge-Ampère gravity as an effective rather than a fundamental theory in this study, we compare our results with the solutions of the Poisson equation in all cases.

 

یکشنبه 28 بهمن 1403، ساعت 15:00

Sunday 16 February 2025 – 15:00 Tehran Time

Hybrid Seminar

دانشکده فیزیک – آمفی ­تئاتر – تالار جناب Physics Department – Amphitheatre– Jenab Hall  / 

https://vc.sharif.edu/ch/cosmology

گزینه ورود به صورت مهمان – Enter as a Guest