Representation of electromagnetic and gravitoelectromagnetic Poynting theorems in higher dimensions
نویسندگان
چکیده
منابع مشابه
On Multiwell Liouville Theorems in Higher Dimensions
We consider certain subsets of the space of n × n matrices of the form K = ∪i=1SO(n)Ai, and we prove that for p > 1, q ≥ 1 and for connected Ω ′ ⊂⊂ Ω ⊂ IR, there exists positive constant a < 1 depending on n, p, q,Ω,Ω such that for ε = ‖dist(Du,K)‖ Lp(Ω) we have infR∈K ‖Du−R‖ p Lp(Ω′) ≤ Mε1/p provided u satisfies the inequality ‖D2u‖ Lq(Ω) ≤ aε1−q . Our main result holds whenever m = 2, and als...
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Gravitational Analog of the Electromagnetic Poynting Vector
The gravitational analog of the electromagnetic Poynting vector is constructed using the field equations of general relativity in the Hilbert gauge. It is found that when the gravitational Poynting vector is applied to the solution of the linear mass quadrupole oscillator, the correct gravitational quadrupole radiation flux is obtained. Further to this, the Maxwell-like gravitational Poynting v...
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ژورنال
عنوان ژورنال: TURKISH JOURNAL OF PHYSICS
سال: 2014
ISSN: 1300-0101,1303-6122
DOI: 10.3906/fiz-1311-13