General Relativistic Energy Conditions: The Hubble expansion in the epoch of galaxy formation

Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology

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25 pages; plain LaTeX; uses epsf.sty; three encapsulated postscript figures. A brief summary of these ideas was published in S

Scientific paper

10.1103/PhysRevD.56.7578

The energy conditions of Einstein gravity (classical general relativity) are designed to extract as much information as possible from classical general relativity without enforcing a particular equation of state for the stress-energy. This systematic avoidance of the need to specify a particular equation of state is particularly useful in a cosmological setting --- since the equation of state for the cosmological fluid in a Friedmann-Robertson-Walker type universe is extremely uncertain. I shall show that the energy conditions provide simple and robust bounds on the behaviour of both the density and look-back time as a function of red-shift. I shall show that current observations suggest that the so-called strong energy condition (SEC) is violated sometime between the epoch of galaxy formation and the present. This implies that no possible combination of ``normal'' matter is capable of fitting the observational data.

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