A new geometrical look at Ostrogradsky's procedure

被引:1
|
作者
Massa, Enrico [1 ]
Vignolo, Stefano [1 ]
Cianci, Roberto [1 ]
Carloni, Sante [2 ]
机构
[1] Univ Genoa, Sez Metodi & Modelli Matemat, DIME, Via Allopera Pia 15, I-16145 Genoa, Italy
[2] Univ Lisbon, Inst Super Tecn, Ctr Multidisciplinar Astrofis CENTRA, P-1049001 Lisbon, Portugal
基金
欧盟地平线“2020”;
关键词
Higher order Lagrangians; non-holonomic geometry; DARK ENERGY; GRAVITY; MECHANICS;
D O I
10.1142/S0219887818501281
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
Making use of the modern techniques of non-holonomic geometry and constrained variational calculus, a revisitation of Ostrogradsky's Hamiltonian formulation of the evolution equations determined by a Lagrangian of order >= 2 in the derivatives of the configuration variables is presented.
引用
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页数:12
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