# Twist deformations of Newtonian Schwarzschild-(Anti-)de Sitter classical system

## TL;DR

This paper introduces three new twist-deformed Newtonian Schwarzschild-(Anti-)de Sitter models on noncommutative space-times, deriving their Hamiltonians and equations of motion, and analyzing their interrelations.

## Contribution

The paper presents novel twist-deformed models of Newtonian Schwarzschild-(Anti-)de Sitter systems on different noncommutative geometries, including their Hamiltonians and dynamics.

## Key findings

- Three new models on different noncommutative spaces
- Explicit Hamiltonian functions derived
- Discussion of relations between models

## Abstract

In this article we provide three new twist-deformed Newtonian Schwarzschild-(Anti-)de Sitter models. They are defined on the Lie-algebraically as well as on the canonically noncommutative space-times respectively. Particularly we find the corresponding Hamiltonian functions and the proper equations of motion. The relations between the models are discussed as well.