Newtonian wormholes with spherical symmetry and tidal forces on test particles

TL;DR

This paper introduces a Newtonian model of spherically symmetric wormholes with curved space, analyzing gravitational effects, particle dynamics, tidal forces, and the potential for Newtonian black holes within this framework.

Contribution

It presents a novel Newtonian wormhole model with curved space and explores associated gravitational and tidal phenomena, including the concept of Newtonian black holes.

Findings

Derived gravitational potential and field for the wormhole

Analyzed tidal forces and particle trajectories in the wormhole geometry

Outlined the conditions for Newtonian black holes in this theory

Abstract

A spherically symmetric wormhole in Newtonian gravitation in curved space, enhanced with a connection between the mass density and the Ricci scalar, is presented. The wormhole, consisting of two connected asymptotically flat regions, inhabits a spherically symmetric curved space. The gravitational potential, gravitational field and the pressure that supports the fluid that permeates the Newtonian wormhole are computed. Particle dynamics and tidal effects in this geometry are studied. The possibility of having Newtonian black holes in this theory is sketched.