Astronomy and Astrophysics – Astronomy
Scientific paper
Jan 1984
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1984cqgra...1...43e&link_type=abstract
Classical and Quantum Gravity (ISSN 0264-9381), vol. 1, Jan. 11, 1984, p. 43-54.
Astronomy and Astrophysics
Astronomy
33
Black Holes (Astronomy), Electromagnetic Wave Transmission, Field Theory (Physics), Maxwell Equation, Polarized Electromagnetic Radiation, Quantum Electrodynamics, Energy Distribution, Gravitational Fields, Radiation Pressure, Schwarzschild Metric, Tensor Analysis, Vacuum
Scientific paper
A quantized Maxwell field propagating in the gravitational field of a Schwarzschild black hole is considered. The vector Hartle-Hawking propagator is defined on the Riemannian section of the analytically continued space-time and expanded in terms of four-dimensional vector spherical harmonics. The equations for the radial functions appearing in this expansion are derived for both odd and even parity. Using the expansion of the vector Hartle-Hawking propagator the point-separated expectation value of the Maxwellian energy-momentum tensor in the Hartle-Hawking vacuum is derived. The renormalized values of radial pressure, tangential pressure and energy density are obtained near the horizon of the black hole. An extension is provided of previous work of various authors on vacuum polarization of a massless scalar field near a black hole to the more realistic case of the Maxwell field. In contrast to the scalar field, the Maxwell field exhibits a positive energy density near the horizon in the Hartle-Hawking vacuum state.
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