考虑非线性电动力学效应的圈量子宇宙学中广义热力学第二定律的研究
Study of Generalized Second Law of Thermodynamics in Loop Quantum Cosmology with the Effect of Non-Linear Electrodynamics
摘要：
本文讨论了FRW宇宙中非线性形式的麦克斯韦电动力学。非线性电动力学的能量密度和压力已经写在电磁宇宙中。本文讨论了在圈量子宇宙学中，当宇宙中充满物质和电磁磁场时，平坦FRW模型的爱因斯坦场方程。我们分别假设了磁宇宙和电宇宙。在一节中考虑了物质与磁场的相互作用，对于某种特定形式的相互作用项，我们得到了磁场的解和物质的能量密度。我们还考虑了物质与电场之间的相互作用，并选择了另一种形式的相互作用项来求解场方程。本文分别用Gibb定律和热力学第一定律研究了广义热力学第二定律在磁宇宙和电宇宙的视视界和视界上的适用性。
英文摘要：
In this work, we have discussed the Maxwell's electrodynamics in non-linear forms in FRW universe. The energy density and pressure for non-linear electrodynamics have been written in the electro-magnetic universe. The Einstein's field equations for flat FRW model in loop quantum cosmology have been considered if the universe is filled with the matter and electro-magnetic field. We separately assumed the magnetic universe and electric universe. The interaction between matter and magnetic field have been considered in one section and for some particular form of interaction term, we have found the solutions of magnetic field and the energy density of matter. We have also considered the interaction between the matter and electric field and another form of interaction term has been chosen to solve the field equations. The validity of generalized second law of thermodynamics has been investigated on apparent and event horizons using Gibb's law and the first law of thermodynamics for magnetic and electric universe separately.
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