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arXiv 1502.07033math-phmath.MP
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共动时具有Chiellini阻尼的正压FRW宇宙学

Barotropic FRW cosmologies with Chiellini damping in comoving time

Haret C. Rosu, Stefan C. Mancas, Pisin Chen

摘要:

对于非零的宇宙学常数λ,我们证明了在同向运动时间内计算的正压FRW宇宙学在辐射占优的情况下导致了与我们最近在Phys. Lett. A 379(2015)882-887。这是由于在这种情况下得到的Ermakov方程。对于宇宙学常数为零的情况,作为λ不为零的特殊情况,给出了几种教科书上的解。

英文摘要:

For non-zero cosmological constant Lambda, we show that the barotropic FRW cosmologies as worked out in the comoving time lead in the radiation-dominated case to scale factors of identical form as for the Chiellini dissipative scale factors in conformal time obtained recently by us in Phys. Lett. A 379 (2015) 882-887. This is due to the Ermakov equation which is obtained in this case. For zero cosmological constant, several textbook solutions are provided as particular cases of Lambda different from zero.

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