Entropy in Spacetime and Topological Hair
Department of Physics and Institute of Basic Science, Sungkyunkwan University, Suwon 16419, Republic of Korea
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Published online: 9 January 2018
Global topological soliton of the hedgehog ansatz is added to de Sitter spacetime in arbitrary dimensions larger than three, and then thermodynamic law is checked at the cosmological horizon. All geometric and thermodynamic quantities are varied in the presence of a long-range interacting matter distribution with negative pressure, however the entropy-area relation is satisfied in the exact form. Its geometry involves deficit solid angle but maintains a single horizon which allows unique temperature normalization, different from the case of Schwarzschild-de Sitter spacetime.
© The Authors, published by EDP Sciences, 2018
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