This book addresses the subject of gravity theories in two and
three spacetime dimensions. The prevailing philosophy is that lower
dimensional models of gravity provide a useful arena for developing
new ideas and insights, which are applicable to four dimensional
gravity. The first chapter consists of a comprehensive introduction
to both two and three dimensional gravity, including a discussion
of their basic structures. In the second chapter, the asymptotic
structure of three dimensional Einstein gravity with a negative
cosmological constant is analyzed. The third chapter contains a
treatment of the effects of matter sources in classical two
dimensional gravity. The fourth chapter gives a complete analysis
of particle pair creation by electric and gravitational fields in
two dimensions, and the resulting effect on the cosmological
constant. Lower dimensional gravity may have never been reviewed in
its entirety anywhere in the literature.
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