Gravitational geons in 1+1 dimensions (vol 25, 175004, 2008)

In a recent paper (Vollick D N 2008 Class. Quantum Grav. 25 175004), 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 Vollick (2008 Class. Quantum. Grav. 25 175004) a test particle that is reflected from the origin suffers a discontinuity in d(2)t/d tau(2). The geons found in this paper do not suffer from this problem.