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Differential Forms and Einstein-Cartan Theory usual conventions, e (belonging to), ⋃ (union) and ⋂ (intersection) are adopted. The [...] around a set of indices denote antisymmetrization, ⊗ denotes the Cartesian product, δ denotes the variational derivative, ∂ the partial derivative and D, ∇, or ; the covariant derivative. Einstein’s summation
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Introduction to Classical and Quantum Lagrangian Field Theoryparameter (time) get replaced by fields which are functions of local parameters in a four-dimensional continuum, viz. spacetime coordinates. These local functions or local fields, being the generalized coordinates of the classical field theory, satisfy Euler—Lagrange equations of motion which are ca
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Introduction to Compact Simple Lie Groupsre of considerable importance in particle physics, grand unification etc. The basic concepts of groups and group representations are assumed to be known — these include the definitions of a group, subgroup, normal subgroup, factor group, simple and semi-simple groups, Abelian and non-Abelian groups;
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Transylvania—An Anthroponymic Perspectiveine relative to each other, describe nature in identical terms. Certainly, aesthetics demands that if nature would not show preference for one or the other of two observers in uniform rectilinear motion relative to each other, then it should also not show any preference between two observers with an
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,The Quest for a Name in “Frost”,matical existence of the black hole, as embodied in the exact solution of Schwarzschild, dates back almost to the advent of general relativity itself, most of the relevant aspects related to it were discovered essentially after the mid-sixties. These include the geometric structure of the black hole
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,Prasanta Chandra Mahalanobis (1893–1972),tric matter-free spacetimes and represents rotating and electrically charged black holes. This solution is a three-parameter family labelled by total mass energy ., angular momentum . and charge .. The line element is given by .where
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Naming and Nation-building in Turkeysable. Starting from simple observational facts combined with a limited number of conceptual assumptions, one can build elegant cosmological models based on general relativity. These models have been quite successful in providing a framework for considering various physical processes in detail and i
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