First law of thermodynamics and Friedmann equations of Friedmann-Robertson-Walker universe

By R. Cai, Sang Pyo Kim. 2005

801 citations recorded by the source corpus.

Applying the first law of thermodynamics to the apparent horizon of a Friedmann-Robertson-Walker universe and assuming the geometric entropy given by a quarter of the apparent horizon area, we derive the Friedmann equations describing the dynamics of the universe with any spatial curvature. Using entropy formulae for the static spherically symmetric black hole horizons in Gauss-Bonnet gravity and in more general Lovelock gravity, where the entropy is not proportional to the horizon area, we are also able to obtain the Friedmann equations in each gravity theory. We also discuss some physical implications of our results.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/e11fafd3b8dc603990fb7329c8eb990527e3c9ce

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In Astronomy and Astrophysics

1. Yi Wang
2. Shuang Wang
3. Miao Li
4. R. Cai
5. N. Ohta
6. Li-Ming Cao
7. A. Abdolmaleki
8. K. Karami

In Nuclear and High Energy Physics

1. Yi Wang
2. Shuang Wang
3. R. Cai
4. Miao Li
5. N. Ohta
6. Li-Ming Cao
7. A. Abdolmaleki
8. K. Karami

Citations in the corpus

• Generalized Uncertainty Principle: Approaches and Applications (2014, methodology): “In the FLRW spacetime, the dynamical apparent horizon is marginally trapped surface with a vanishing expansion [138].”