A “conformal” perfect fluid in the classical vacuum
Abstract
The possible existence of a conformal perfect fluid in the classical vacuum is investigated in this paper. It is shown, contrary to Madsen's opinion, that the scalar field stress tensor acquires a perfect fluid form even with a nonminimal coupling (ξ=1/6) in the Einstein Lagrangian provided the geometry is the Lorentzian analog of the Euclidean Hawking wormhole. In addition, ourT μν equals, up to a constant factor, the vacuum expectation value of Fulling's stress tensor for a massless scalar field and Visser's one concerning traversable wormholes. On the other side of the light cone, there is a coordinate system (the dimensionally reduced Witten bubble) where the stress tensor becomes diagonal.
Keywords
Coordinate System Stress Tensor Field Stress Scalar Field Differential GeometryPreview
Unable to display preview. Download preview PDF.
References
- 1.Madsen, M. S. (1988).Class. Quant. Grav. 5, 627.CrossRefGoogle Scholar
- 2.Culetu, H. (1990).Europhys. Lett. 12, 487.Google Scholar
- 3.Hawking, S. W. (1987).Phys. Lett. B195, 337.Google Scholar
- 4.Weinberg, S. (1989).Rev. Mod. Phys. 61, 1; Hawking, S. W. (1988).Phys. Rev. D 37, 804.CrossRefGoogle Scholar
- 5.Hawking, S. W., and Ellis, G. F. R. (1973).The Large Scale Structure of Space-Time (Cambridge University Press, Cambridge).Google Scholar
- 6.Culetu, H. (1990).Nuovo Cimenta 105B, 693.Google Scholar
- 7.Fulling, S. A. (1989).Aspects of Quantum Field Theory in Curved Spacetime (Cambridge University Press, Cambridge).Google Scholar
- 8.Visser, M. (1993).Phys. Rev. D 47, 554.Google Scholar
- 9.Witten, E. (1982).Nucl. Phys. B195, 481.CrossRefGoogle Scholar
- 10.Coleman, S. (1977).Phys. Rev. D 15, 2929.Google Scholar
- 11.Coleman, S., and Callan, C. G., Jr. (1977).Phys. Rev. D 16, 1762.Google Scholar
- 12.Brill, D. R., and Matlin, M. D. (1989).Phys. Rev. D 39, 3151.Google Scholar
- 13.Hoyle, F., and Narlikar, J. V. (1974).Action at a Distance in Physics and Cosmology (Freeman, San Francisco).Google Scholar