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Hog Theory Essay

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Cosmology in HOG theories has advanced into a field of special importance for a number of interesting questions concerning the structure of the early universe. More specifically, an already formed subfield of HOG theories involves the stability of cosmological solutions in generalized gravity theories. This area combines the search for fundamental physical phenomena that might have taken place during the earliest moments of the universe with intriguing mathematical problems. There exist two main facets of the cosmological stability problem. The first is the perturbation theory aspect which plays an important role in studies of structure formation. The second is the asymptotic stability aspect which is used mainly for issues involving geometric and nonlinear dynamics. The latter problem naturally comes to surface when we investigate whether or not there is a possibly more general significance in a given exact solution …show more content…

The original cosmic no-hair theorems in HOG theories, have been evolved in \cite{mae-89,mij-ste-88,cou-mad-89}, while one can see \cite{bar-87a,bar-87b,bar-her-06a} for limitations of this property. For generalizations in higher-rder gravity of the respective situation that emerges in general relativistic cosmology, cf. \cite{pag-87,mul-sch-sta-88,sch-88,ber-90,ber-91,cot-fle-93b}.

Another important late-time stability issue is the \emph{recollapse problem}. In \cite{cot-mir-96,cot-mir-98} various recollapse theorems in generalized cosmological theory are examined, while \cite{mir-03,mir-05,mir-09} include more elaborate and complete approaches and results on this subject. It is a probably true that cosmic no-hair and recollapse of closed models are not unrelated. A ``premature'' recollapse problem in closed universes that inflate has been formulated and studied in \cite{bar-88} in an interesting approach of those two

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