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Title of Journal: Found Sci

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Abbravation: Foundations of Science

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Springer Netherlands

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10.1007/bf01607700

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1572-8471

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Cosmological Black Holes and the Direction of Time

Authors: Gustavo E Romero Daniela Pérez Federico G López Armengol
Publish Date: 2017/03/02
Volume: 23, Issue: 2, Pages: 415-426
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Abstract

Macroscopic irreversible processes emerge from fundamental physical laws of reversible character The source of the local irreversibility seems to be not in the laws themselves but in the initial and boundary conditions of the equations that represent the laws In this work we propose that the screening of currents by black hole event horizons determines locally a preferred direction for the flux of electromagnetic energy We study the growth of black hole event horizons due to the cosmological expansion and accretion of cosmic microwave background radiation for different cosmological models We propose generalized McVittie comoving metrics and integrate the rate of accretion of cosmic microwave background radiation onto a supermassive black hole over cosmic time We find that for flat open and closed Friedmann cosmological models the ratio of the total area of the black hole event horizons with respect to the area of a radial comoving spacelike hypersurface always increases Since accretion of cosmic radiation sets an absolute lower limit to the total matter accreted by black holes this implies that the causal past and future are not mirror symmetric for any spacetime event The asymmetry causes a net Poynting flux in the global future direction the latter is in turn related to the ever increasing thermodynamic entropy Thus we expose a connection between four different “time arrows” cosmological electromagnetic gravitational and thermodynamicWe have shown that the spacetime metrics given by 23 and 24 are consistent with Hawking–Hayward quasilocal mass proposal for a black hole embedded in Friedmann cosmological models A detailed analysis of the existence of trapped surfaces for those metrics will be given in a future work In what follows we will assume Hawking–Hayward quasilocal mass as the effective mass of a black hole embedded in a Friedmann cosmological model


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