Abstract:
In the first part of the present talk, the cosmological singularity
theorems of Hawking will be reviewed. In the second part, it will be
considered the possibility that the specific energy conditions for
matter fields that these theorems assume may be violated. However, some
generalizations of the Hawking theorems will be found even in these
situations. In particular, the Hawking theorems will be generalized for
F(R) theories formulated in the metric formalism. Certain results of
Ringstrom about scalar fields in GR will be very important for obtaining
such results.
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