2008Banach Center PublicationsOpen access

Reachable sets for a class of contact sub-lorentzian metrics on R3, and null non-smooth geodesics

Marek Grochowski

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Abstract

We compute future timelike and nonspacelike reachable sets from the origin for a class of contact sub-Lorentzian metrics on $\mathbb{R}% ^{3}$. Then we construct non-smooth (and therefore non-Hamiltonian) null geodesics for these metrics. As a consequence

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We compute future timelike and nonspacelike reachable sets from the origin for a class of contact sub-Lorentzian metrics on $\mathbb{R}% ^{3}$. Then we construct non-smooth (and therefore non-Hamiltonian) null geodesics for these metrics. As a consequence

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Available abstract

We compute future timelike and nonspacelike reachable sets from the origin for a class of contact sub-Lorentzian metrics on $\mathbb{R}% ^{3}$. Then we construct non-smooth (and therefore non-Hamiltonian) null geodesics for these metrics. As a consequence

Key concepts: Geodesic, Null (SQL), Class (philosophy), Geodesics in general relativity, Hamiltonian (control theory), Pure mathematics, Mathematics, Physics

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