It is well-known that one of the most interesting and challenging problems of General Relativity is the energy and momentum localization. There are many attempts to evaluate the energy distribution in a general relativistic system. One of the methods used for the energy and momentum localization is the one which used the energymomentum complexes. After the Einstein work, a large number of defin...

We show that any generally covariant coupling of matter fields to gravity gives rise to a conserved, on-shell symmetric energy-momentum tensor equivalent to the canonical energy-momentum tensor of the flat-space theory. For matter fields minimally coupled to gravity our algorithm gives the conventional Belinfante tensor. We establish that different matter-gravity couplings give metric energy-mo...

We devise a generalisation of the energy momentum-method for studying stability non-autonomous Hamiltonian systems with Lie group symmetries. A relative equilibrium point notion to realm is provided and studied. Relative points are described via foliated systems, which opens new field application such differential equations. reduce Marsden-Weinstein theorem we provide conditions ensuring projec...

Conventional nucleon-nucleon potentials with strong short-range repulsion require contributions from high-momentum wave function components even for low-energy observables such as the deuteron binding energy. This can lead to the misconception that reproducing high-energy phase shifts is important for such observables. Interactions derived via the similarity renormalization group decouple high-...