On Cosmological Implication of the Trace Anomaly

TL;DR

This paper explores how the trace anomaly in quantum fields relates to thermal radiation in cosmology, revealing a connection that depends on a cutoff time near the initial singularity.

Contribution

It establishes a link between trace anomaly and thermal radiation in cosmology through solving the stress tensor conservation, considering a cutoff near the initial singularity.

Findings

Thermal radiation temperature depends on a cutoff time near the initial singularity.

The trace anomaly induces a thermal radiation component in the cosmological stress tensor.

Connections are drawn between cosmological and black hole spacetime results.

Abstract

We establish a connection between the trace anomaly and a thermal radiation in the context of the standard cosmology. This is done by solving the covariant conservation equation of the stress tensor associated with a conformally invariant quantum scalar field. The solution corresponds to a thermal radiation with a temperature which is given in terms of a cut-off time excluding the spacetime regions very close to the initial singularity. We discuss the interrelation between this result and the result obtained in a two-dimensional schwarzschild spacetime.