Extended gravitoelectromagnetism. I. Variational formulation
نویسندگان
چکیده
This work presents a novel approach to well established concepts of gravity, formulating new and consistent gravitoelectromagnetic theory. The long standing field theory is considered in the framework Hamilton’s principle. A variational formulation based on this principle describes dynamics fully-relativistic perfect fluid presence flat space, leading definition energy-momentum tensors. relativistic Cauchy invariant for compressible immersed demonstrated. equations motion are written covariant form suited calculating higher-order effects. integral conservation theorems presented, as that describe excitation waves. As an application, used derive equation governs galactic rotation according gravitoelectromagnetism.
منابع مشابه
Extended Variational Formulation for Heterogeneous Partial Differential Equations
We address the coupling of an advection equation with a diffusion-advection equation, for solutions featuring boundary layers. We consider non-overlapping domain decompositions and we face up the heterogeneous problem using an extended variational formulation. We will prove the equivalence between the latter formulation and a treatment based on a singular perturbation theory. An exhaustive comp...
متن کاملA variational formulation for PDEs
Definition 1. A classic solution (sometimes called strong solution) to the problem is a function u ∈ C2([a, b]) such that it vanishes at the endpoints and pointwise it satisfies the equation −u′′(x)+ u(x) = f(x). Let’s change approach. Suppose that we formally multiply the differential equation by an arbitrary function φ ∈ C1([a, b]) with φ(a) = φ(b) = 0 and we integrate over the interval [a, b...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: European Physical Journal Plus
سال: 2021
ISSN: ['2190-5444']
DOI: https://doi.org/10.1140/epjp/s13360-021-01367-2