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Complete conformal classification of the Friedmann–Lemaître–Robertson–Walker solutions with a linear equation of state

Complete conformal classification of the Friedmann–Lemaître–Robertson–Walker solutions with a linear equation of state

We completely classify Friedmann-Lema\^{i}tre-Robertson-Walker solutions with spatial curvature $K=0,\pm 1$ and equation of state $p=w\rho$, according to their conformal structure, singularities and trapping horizons. We do not assume any energy conditions and allow $\rho < 0$, thereby going beyond the usual well-known solutions. For each spatial curvature, there is an …