Beyond Einstein Gravity A Survey of Gravitational Theories for Cosmology and Astrophysics

From the reviews:

“This monograph covers almost all extended theories of gravity which are under current discussion and their application to cosmology. It is a useful guide through the literature on these topics, and the reference list covers as many as 1180 items, mainly from the recent ten years. The authors themselves are active researchers in this field, and so they are able to present the material with competence, especially, they often give the key equations and explain the problematic points.” (Hans-J
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rgen Schmidt, Zentralblatt MATH, Vol. 1206, 2011)