From: Yousuf Khan on
Revised theory of gravity doesn't predict a Big Bang
"Although Eddington played a significant role in developing general
relativity, during the following decades he became more interested in
finding a theory to unify gravity and quantum mechanics - a task that is
still being studied today. In 1924, Eddington proposed a new
�gravitational action� as an alternative to the Einstein-Hilbert action,
which could serve as an alternative starting point to general
relativity. In astrophysics, a gravitational action is the mechanism
that describes how gravity can emerge from space-time being curved by
matter and energy. However, Eddington�s theory of gravity only worked
for empty space and didn�t include any source of energy such as matter,
making it an incomplete theory.

Since Eddington�s proposal, scientists have attempted various ways of
including matter into the theory, although they have run into problems.
In this study, Banados and Ferreira have tried a new way to extend the
theory to include matter by using a gravitational action called the
Born-Infeld action. "
http://www.physorg.com/news198135631.html