Eternal in ation and the initial singularity

Eternal inflation and the initial singularity.

It is shown that a physically reasonable spacetime that is eternally inflating to the future must possess an initial singularity.

Eternal Inflation, past and future

Cosmological inflation, if it occurred, radically alters the picture of the ‘big bang’, which would merely point to reheating at the end of inflation. Moreover, this reheating may be only local so that inflation continues elsewhere and forever, continually spawning big-bang-like regions. This chapter reviews this idea of ‘eternal inflation’, then focuses on what this may mean for the ultimate b...

Violation of the Weak Energy Condition in

We argue that many future-eternal inflating spacetimes are likely to violate the weak energy condition. It is possible that such spacetimes may not enforce any of the known averaged conditions either. If this is indeed the case, it may open the door to constructing non-singular, past-eternal inflating cosmologies. Simple non-singular models are, however, unsatisfactory , and it is not clear if ...

Eternal m-security subdivision numbers in graphs

An eternal $m$-secure set of a graph $G = (V,E)$ is aset $S_0subseteq V$ that can defend against any sequence ofsingle-vertex attacks by means of multiple-guard shifts along theedges of $G$. A suitable placement of the guards is called aneternal $m$-secure set. The eternal $m$-security number$sigma_m(G)$ is the minimum cardinality among all eternal$m$-secure sets in $G$. An edge $uvin E(G)$ is ...

Effect of Polymer Concentr ation on the Structure and Performance of Polysulf one Flat Membrane for CO 2 Absorption in Membrane Contactor