Addendum to `Gravitational Geons in 1+1 Dimensions'

TL;DR

This paper investigates gravitational geons in 1+1 dimensional theories of gravity, including cosmological constants, and presents solutions that avoid previous issues with test particle discontinuities.

Contribution

It extends prior work by analyzing these theories with a cosmological constant and finding strong field geons without the test particle discontinuity problem.

Findings

Found strong field gravitational geons in 1+1 dimensions with cosmological constant.

Demonstrated geons do not cause test particle discontinuities.

Extended previous models to more general theories.

Abstract

In a recent paper [arXiv:0807.0611] I found gravitational geons in two classes of 1+1 dimensional theories of gravity. In this paper I examine these theories, with the possibility of a cosmological constant, and find strong field gravitational geons. In the spacetimes in [arXiv:0807.0611] a test particle that is reflected from the origin suffers a discontinuity in $d^2t/d\tau^2$. The geons found in this paper do not suffer from this problem.