Let $\m = \mo \times \Rrset$ be a stationary Lorentz metric and $P_0$, $P_1$ be two closed submanifolds of $\mo$. By using the Ljusternik-Schnirelman theory and variational tools, we prove the influence of the topology of $P_0$ and $P_1$ on the number of lightlike geodesics in $\m$ joining $P_0 \times \{0\}$ to $P_1 \times \Rrset$.
Light rays joining two submanifolds in Space-Times
CANDELA, Anna Maria;SALVATORE, Addolorata
1997-01-01
Abstract
Let $\m = \mo \times \Rrset$ be a stationary Lorentz metric and $P_0$, $P_1$ be two closed submanifolds of $\mo$. By using the Ljusternik-Schnirelman theory and variational tools, we prove the influence of the topology of $P_0$ and $P_1$ on the number of lightlike geodesics in $\m$ joining $P_0 \times \{0\}$ to $P_1 \times \Rrset$.File in questo prodotto:
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