Tsujikawa, Phys. Rev. D 77, 023507 (2008)

Tsujikawa, Phys. Rev. D 77, 023507 (2008) Tsujikawa, Phys. Rev. D 77, 023507 (2008)

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Second law of thermodynamics >[KB and Geng, JCAP1006, 014 (2010)]No. A-18We assume the same temperature between the outsideand inside of the apparent horizon.< Gibbs equation > : Entropy of total energy inside the horizon< Second law of thermodynamics >< Condition >[Wu, Wang, Yang and Zhang, Class.Quant. Grav. 25, 235018 (2008)]F > 0 because G eff = G/F > 0 .The second law of thermodynamics in f(R) gravitycan be satisfied in phantom ( , )as well as non-phantom ( H ç H ç > 0 w eff < à 1< 0 , w eff > à 1 ) phases.: Effective equation of state (EoS)

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Second law of thermodynamics >[KB and Geng, JCAP1006, 014 (2010)]No. A-18We assume the same temperature between the outsideand inside of the apparent horizon.< Gibbs equation > : Entropy of total energy inside the horizon< Second law of thermodynamics >< Condition >[Wu, Wang, Yang and Zhang, Class.Quant. Grav. 25, 235018 (<strong>2008</strong>)]F > 0 because G eff = G/F > 0 .The second law of thermodynamics in f(R) gravitycan be satisfied in phantom ( , )as well as non-phantom ( H ç H ç > 0 w eff < à 1< 0 , w eff > à 1 ) phases.: Effective equation of state (EoS)

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