One approach, based on generalizations of the
Noether's theorem to perturbed equations, is given to get approximate conservation laws via the approximate Noether symmetries associated with a Lagrangian of the perturbed equations [5, 9].
The popularity of
Noether's theorem lies in the existence of a formula.
Our aim is to obtain the necessary and sufficient conditions for the minimizes Moreover, we will establish
Noether's theorem for these problems.
Thanks to
Noether's Theorem we know that from Equation 21:
To calculate the energy-stress tensor, apply the following relation which can be derived from the
Noether's Theorem [13]
These connections between symmetries and conservation laws of a dynamical system are expressed by the
Noether's theorem [61].
After her work with abstract algebra, Noether began studying physics, which led to her greatest discovery:
Noether's Theorem. This theorem basically states that any system in symmetry can be explained by a law of conservation.
According to
Noether's theorem, each continuous symmetry of a physical system implies that some physical property of that system is conserved.
A well-known Hasse Principle (in fact Albert Hasse
Noether's Theorem) (cf.
The standard method used for constructing such a 4-current relies on
Noether's theorem [4, see p.
"Emily
Noether's Theorem" begins with the premise that "Poets are divided according to the rivers/that are closest to their home"(48).