Axiomatic renormalization of the stress tensor of a conformally invariant field in conformally flat spacetimes
✍ Scribed by Robert M Wald
- Publisher
- Elsevier Science
- Year
- 1978
- Tongue
- English
- Weight
- 992 KB
- Volume
- 110
- Category
- Article
- ISSN
- 0003-4916
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✦ Synopsis
Using only the general properties which the renormalized stress-energy tensor T,," should satisfy-and not relying on any assumptions associated with specific renormalization techniques-we derive the expression for Tuy for conformally invariant fields in conformally flat spacetimes of two and four dimensions. In two dimensions, these arguments rederive the Davies-Fulling-Unruh expression for the stress tensor of a scalar field; in four dimensions the results agree with those of Brown and Cassidy, except that we exclude the local curvature term depending on fourth-order derivatives of the metric. The dynamics of a k = 0 Robertson-Walker universe filled with radiation of the conformally invariant field is investigated and it is found that the equations cease to admit a solution when the Planck density is reached.