000			01841cam a22002295i 4500
999			_c38349 _d38349
008			180704s2018 gw |||| o |||| 0|eng
020			_a9783030062989
100	1		_aRakotomanana, RLalaonirina,
245	1	0	_aCovariance and Gauge Invariance in Continuum Physics : _bApplication to Mechanics, Gravitation, and Electromagnetism / _cby Lalaonirina R. Rakotomanana.
250			_a.
260			_aSwitzerland _bBirkhauser _c2020
300			_axi, 325 p.; _bill.;
440			_aProgress in mathematical Physics
520			_aThis book presents a Lagrangian approach model to formulate various fields of continuum physics, ranging from gradient continuum elasticity to relativistic gravito-electromagnetism. It extends the classical theories based on Riemann geometry to Riemann-Cartan geometry, and then describes non-homogeneous continuum and spacetime with torsion in Einstein-Cartan relativistic gravitation. It investigates two aspects of invariance of the Lagrangian: covariance of formulation following the method of Lovelock and Rund, and gauge invariance where the active diffeomorphism invariance is considered by using local Poincaré gauge theory according to the Utiyama method. Further, it develops various extensions of strain gradient continuum elasticity, relativistic gravitation and electromagnetism when the torsion field of the Riemann-Cartan continuum is not equal to zero. Lastly, it derives heterogeneous wave propagation equations within twisted and curved manifolds and proposes a relation between electromagnetic potential and torsion tensor.
650		0	_aMathematical physics. _92291
650		0	_aMechanics, Applied. _92191
650		0	_aMechanics. _95130
650	1	4	_aMathematical Physics. _92291
650	2	4	_aSolid Mechanics.
650	2	4	_aTheoretical, Mathematical and Computational Physics.
942			_cBK