Showing papers on "Four-tensor published in 1992"
Book Chapter•
01 Jan 1992
TL;DR: In this paper, the authors presented a new method of constructing a stress-energy-momentum tensor based on covariance considerations and Noether theory, which is uniquely determined as well as gauge-covariant, and depends only upon the divergence equivalence class of the Lagrangian.
Abstract: We present a new method of constructing a stress-energy-momentum tensor
for a classical field theory based on covariance considerations and Noether theory.
The stress-energy-momentum tensor T ^μ
_ν that we construct is defined using
the (multi)momentum map associated to the spacetime diffeomorphism group.
The tensor T ^μ
_ν is uniquely determined as well as gauge-covariant, and depends
only upon the divergence equivalence class of the Lagrangian. It satisfies
a generalized version of the classical Belinfante-Rosenfeld formula, and hence
naturally incorporates both the canonical stress-energy-momentum tensor and
the “correction terms” that are necessary to make the latter well behaved. Furthermore,
in the presence of a metric on spacetime, our T^(μν) coincides with the
Hilbert tensor and hence is automatically symmetric.
97 citations
TL;DR: It is found that the adiabatic regularized quantum stress-energy tensor for matter in any background spacetime can be obtained in the framework of stochastic quantization and are useful in formulating the semiclassical theory of gravity and in the numerical study of the back-reaction effects of quantized fields in inhomogeneous spacetimes.
Abstract: It is found that the adiabatic regularized quantum stress-energy tensor for matter in any background spacetime can be obtained in the framework of stochastic quantization. As an illustration, we investigate the modes of a massive scalar field with arbitrary curvature coupling to the inhomogeneous conformally flat spacetime. The difficulty of the mode-mixing behavior arising from the spacetime inhomogeneity is overcome and a simple algorithm is presented to evaluate the adiabatic regularized quantum stress-energy tensor. The expressions so obtained are useful in formulating the semiclassical theory of gravity and in the numerical study of the back-reaction effects of quantized fields in inhomogeneous spacetimes, such as the problems of homogenization in the early universe and the evaporation of a quantum black hole. It can be seen that our prescriptions may be extended to investigate more realistic models with fermions and gauge fields. This will be studied in future papers.
1 citations