کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
1901082 1045607 2012 15 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
The Nature of Gravitational Field and its Legitimate Energy–Momentum Tensor*
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات فیزیک ریاضی
پیش نمایش صفحه اول مقاله
The Nature of Gravitational Field and its Legitimate Energy–Momentum Tensor*
چکیده انگلیسی

In this paper we show how a gravitational field generated by a given energy-momentum distribution (for all realistic cases) can be represented by distinct geometrical structures (Lorentzian, teleparallel and nonnull nonmetricity spacetimes) or that we even can dispense all those geometrical structures and simply represent the gravitational field as a field, in the Faraday sense, living in Minkowski spacetime. The explicit Lagrangian density for this theory is given and the field equations (which are a set of four Maxwell's-like equations) are shown to be equivalent to Einstein's equations. We also analyze whether the teleparallel formulation can give a mathematical meaning to “Einstein's most happy thought”, i.e. the equivalence principle. Moreover we discuss the Hamiltonian formalism for our theory and its relation to one of the possible concepts for energy of the gravitational field which emerges from it and the concept of ADM energy. One of the main results of the paper is the identification in our theory of a legitimate energy-momentum tensor for the gravitational field expressible through a really nice formula.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Reports on Mathematical Physics - Volume 69, Issue 2, April 2012, Pages 265–279
نویسندگان
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