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Correct interpretation of observations relies on proper modelling of the astrophysical systems and proper treatment of the radiation from the systems it is generated and of how the radiation is modified when it propagates to the observer. With the coming of high quality spectroscopic and timing data, proper treatment of the transport of the radiation is therefore required. In this talk I will present a covariant formulation of the transport of photonic and non-photonic particles and discuss the rationales behind it. The objective of constructing this covariant formulation is for practical applications in real astrophysical situations, in particular, in extremely strong gravity environments and cosmology. I will show results of our calculations in three cases: (1) eruptive magnetic flares from near black-hole event horizon, (2) all-sky radio polarisation and (3) 21-cm signals from the cosmological reionisation epoch. I will also briefly discuss applications in timing of millisecond pulsars in extreme-mass-ratio inspirals/binaries, Lyman-alpha emission from distant galaxies, lensing of non-photonic relativistic particles in black-hole environments, and propagation of radiation from neutron star - neutron star mergers. |
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