Abstract
We investigate transverse electromagnetic waves propagating in a plasma near the horizon of the de Sitter space. Using the 3+1 formalism we derive the relativistic two-fluid equations to take account of the effects due to the horizon and describe the set of simultaneous linear equations for the perturbations. We use a local approximation to investigate the one-dimensional radial propagation of Alfvén and high frequency electromagnetic waves and solve the dispersion relation for these waves numerically.
Highlights
In recent years there have been renewed interests in investigating plasmas in curved spacetimes of general relativity; because, a successful study of the waves and emissions from plasmas falling into a compact body will be of great value in aiding the observational identification of black hole candidates
We study two-fluid plasmas near the horizon of the pure de Sitter (dS) space
Recent cosmological observations [1, 2, 3, 4, 5, 6] suggest the possibility of existing a positive cosmological constant (Λ > 0) in our universe and this possibility gives the picture, among many others, of some features closely related to black holes: the existence of cosmological event horizons
Summary
In recent years there have been renewed interests in investigating plasmas in curved spacetimes of general relativity; because, a successful study of the waves and emissions from plasmas falling into a compact body (e.g. black hole) will be of great value in aiding the observational identification of black hole candidates. We study two-fluid plasmas near the horizon of the pure dS space. Recent cosmological observations [1, 2, 3, 4, 5, 6] suggest the possibility of existing a positive cosmological constant (Λ > 0) in our universe and this possibility gives the picture, among many others, of some features closely related to black holes: the existence of cosmological event horizons. In this paper we apply the formalism of Buzzi et al [33] to investigate the transverse electromagnetic waves propagating in a plasma close to the (cosmological) event horizon of the pure dS space.
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