A note on the area spectrum of d-dimensional pure de Sitter Space-time
Institute of Theoretical Physics, Lanzhou University, Lanzhou, 730000, China
Revised: 31 October 2010
Published online: 5 January 2011
Motivated by Ropotenko’s very recent work (Phys. Rev. D 80:044022, 2009), we study the area spectrum of the cosmological horizon in d-dimensional pure de Sitter Space-time. In particular, by using the notion of energy E suggested by Padmanabhan, we modify Ropotenko’s approach and extend it to de Sitter type universes. The derived area spectrum is evenly spaced and independent of the cosmological constant Λ. Furthermore, unlike black hole event horizon discussed in Ropotenko (Phys. Rev. D 80:044022, 2009), the area quantum of cosmological horizon in de Sitter space-time relies on the space-time dimension d and will decrease as the dimension d increases.
© Springer-Verlag / Società Italiana di Fisica, 2011