2014/08/19 by Sergiu I. Vacaru, E. Veli Veliev, Elsen Veli Veliev +1 · 1 citation
Mathematics · Physics and Astronomy · #Advanced Differential Geometry Research #Black Holes and Theoretical Physics #Classical mechanics #Computer science #Cosmology and Gravitation Theories #Diagonal #Einstein #Exact solutions in general relativity #Gauge theory #General relativity #Geometry #Gravitation #Higgs boson #Homogeneous space #Mathematical physics #Mathematics #Nonholonomic system #Particle physics #Physics #Quantum mechanics #Theoretical physics #Yang–Mills existence and mass gap #gr-qc #hep-th #math-ph #math.MP #msc:53C07 #msc:70S15 #msc:83C15 #msc:83T13
paper · pdf · doi:10.1142/s0219887814500881
published as Int. J. Geom. Meth. Mod. Phys. 11 (2014) 1450088 · 37 pages, IJGMMP style, a review of authors' contributions at conferences and seminars
openalex publication_date 2014/08/19 · arxiv created 2014/11/10 · arxiv updated 2014/11/12 · openalex created_date 2020/11/23 · openalex updated_date 2026/08/05
We show that geometric techniques can be elaborated and applied for constructing generic off-diagonal exact solutions in f(R, T)-modified gravity for systems of gravitational-Yang–Mills–Higgs equations. The corresponding classes of metrics and generalized connections are determined by generating and integration functions which depend, in general, on all space and time coordinates and may possess, or not, Killing symmetries. For nonholonomic constraints resulting in Levi-Civita configurations, we can extract solutions of the Einstein–Yang–Mills–Higgs equations. We show that the constructions simplify substantially for metrics with at least one Killing vector. Some examples of exact solutions describing generic off-diagonal modifications to black hole/ellipsoid and solitonic configurations are provided and analyzed.