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 Book Id: WPLBN0002097118 Subjects: Non Fiction, Education, Smarandache Collection ► Abstract Full Text Search Details...ng overall general solution for the point-mass when Λ=0, ds 2 = Δ ρ 2 dt−asin 2 θdϕ 2 − − sin 2 θ ρ 2 C n +a 2 dϕ−adt 2 − ρ 2 Δ C n 2 4C ... ...Boyer-Lindquist coordinates and rela- tivistic units is, ds 2 = Δ ρ 2 dt−asin 2 θdϕ 2 − − sin 2 θ ρ 2 r 2 +a 2 dϕ−adt 2 − ρ 2 Δ dr 2 −ρ 2 d... ...g (4) into account, the correct general form of (31) is, ds 2 = Δ ρ 2 dt−asin 2 θdϕ 2 − − sin 2 θ ρ 2 C +a 2 dϕ−adt 2 − − ρ 2 Δ C 2 4C dr ... ...ergosphere. The generalisation of equation (34) is then, ds 2 = Δ ρ 2 dt−asin 2 θdϕ 2 − − sin 2 θ ρ 2 C +a 2 dϕ−adt 2 − − ρ 2 Δ C 2 4C dr ... ...7) the correct expression for the Kerr solution (31) is, ds 2 = Δ ρ 2 dt−asin 2 θdϕ 2 − − sin 2 θ ρ 2 r 2 +a 2 dϕ−adt 2 − ρ 2 Δ dr 2 −ρ 2 d... ...arge The Kerr-Newman solution is, in relativistic units, ds 2 = Δ ρ 2 dt−asin 2 θdϕ 2 − − sin 2 θ ρ 2 r 2 +a 2 dϕ−adt 2 − ρ 2 Δ dr 2 −ρ 2 d... ...l solution for the rotating point-charge is found to be, ds 2 = Δ ρ 2 dt−asin 2 θdϕ 2 − − sin 2 θ ρ 2 C n +a 2 dϕ−adt 2 − ρ 2 Δ C n 2 4C ... ...correct expression for the Kerr-Newman solution (49) is, ds 2 = Δ ρ 2 dt−asin 2 θdϕ 2 − − sin 2 θ ρ 2 r 2 +a 2 dϕ−adt 2 − ρ 2 Δ dr 2 −ρ 2 d...
 Book Id: WPLBN0002097119 ► Abstract Full Text Search Details...Kerr-Newman solution is, in Boyer-Lindquist coordinates, ds 2 = Δ ρ 2 dt−asin 2 θdϕ 2 − − sin 2 θ ρ 2 r 2 +a 2 dϕ−adt 2 − ρ 2 Δ dr 2 −ρ 2 d... ...ing point-charge, which I write in most general form as, ds 2 = Δ ρ 2 dt−asin 2 θdϕ 2 − − sin 2 θ ρ 2 C n +a 2 dϕ−adt 2 − ρ 2 Δ C n 2 4C ... ...ral solution for all confgurations of the point-mass is, ds 2 = Δ ρ 2 dt−asin 2 θdϕ 2 − − sin 2 θ ρ 2 χ 2 4π 2 +a 2 dϕ−adt 2 − ρ 2 Δ dχ 2 4... ...al wave is mono- chrome, bearing a constant amplitudeA and a frequencyω, a=Asin ω c ct±x 1 , (7.38) we integrate the system (7.37). As a result we... ... a free partic- le, equations (2.6), in a linear polarized harmonic wave a=Asin ω c (ct±x 1 ),b=0 are as follows U 0 +U 1 =ε= const, (9.6) U 1 =− 1 4ε... ...+ U 3 (0) 2 e −2Asin ω c (ct±x 1 ) i a +U 1 (0) , (9.7) U 2 =U 2 (0) e Asin ω c (ct±x 1 ) , (9.8) U 3 =U 3 (0) e Asin ω c (ct±x 1 ) , (9.9) whereU... ...al Kerr-Newman form in Boyer-Lindquist coordi- nates is, ds 2 = Δ ρ 2 dt−asin 2 θdϕ 2 − − sin 2 θ ρ 2 R 2 +a 2 dϕ−adt 2 − ρ 2 Δ dR 2 −ρ 2 d...
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