No abstract

In this work, we suggest a definition for the category of mixed motives generated by the motive h 1 (E) for E an elliptic curve without complex multiplication. We then compute the cohomology of this category. Modulo a strengthening of the Beilinson-Soulé conjecture, we show that the cohomology of our category agrees with the expected motivic cohomology groups. Finally for each pure motive (Sym n h 1 (E))(−1) we construct families of nontrivial motives whose highest associated weight graded piece is (Sym n h 1 (E))(−1).

We compute the energy and momentum of a regular black hole of type defined by Mars, Martín-Prats, and Senovilla using the Einstein and Papapetrou definitions for energy-momentum density. Some other definitions of energy-momentum density are shown to give mutually contradictory and less reasonable results. Results support the Cooperstock hypothesis.