We consider both vacuum and thermal states, and explore whether the weak and null energy conditions are satisfied by the quantum stress-energy tensor. We uncover a rather complicated picture: compliance with these two energy conditions depends strongly on the mass and coupling of the scalar field ...
V. Pavlov, Vacuum stress- energy tensor of nonconformal scalar field in quasi-Euclidean gravitational background. Int. J. Mod. Phys. D6, 449 (1997).M. Bordag, J. Lindig, V. M. Mostepanenko, and Yu. V. Pavlov, Internat. J. Mod. Phys. D , 6 , 449–463 (1997)....
Quantum field theory in curved spacetimeThe approximation of the renormalized stress-energy tensor of the quantized massive scalar, spinor, and vector field in the Reissner- Nordstrom spacetime is constructed. It is achieved by functional differentiation of the lowest order of the Schwinger-DeWitt ...
Again the quantity is a scalar field, i.e., the energy density as measured in the rest frame of the medium. Jul 21, 2022 #8 martinbn Science Advisor 4,116 2,188 pervect said: I'm not sure what the author is trying to say. Consider a stress energy tensor of a continuum ...
Stress-energy tensor of quantized scalar fields in static black hole spacetimes We present a method for the numerical computation of the stress-energy tensor of a quantized scalar field in a general static spherically symmetric spaceti... PR Anderson,WA Hiscock,DA Samuel - 《Physical Review ...
a shear or deviatoric stress tensor, involving only shear stress. In the case of a fluid, Pascal's law shows that the hydrostatic stress is the same in all directions, at least to a first approximation, so can be captured by the scalar quantity pressure. Thus, in the case of a solid...
Thestress-energy tensorfieldis a symmetric 2 by 2 complex matrix valued field defined indirectly through the formal variation of the (inverse of the) metric at a pointin the correlation function (1.1) (the precise definition can be found in Sect.3.2): ...
My post https://www.physicsforums.com/threa...tional-field-wei-tou-ni-stress-energy.969033/ got no replies. So I formulated those statements on the stress-energy tensor (SET) which are of most interest to me. I would be very grateful if you either confirmed them or explained when and ...
An alternative approach to RANS turbulence modeling has been proposed1,2 where the primary modeled quantities are the scalar and vector potentials of the turbulent body force - the divergence of the Reynolds stress tensor. This approach has been found to have a number of attractive properties, ...
The second moment (or average fluctuation) of the distribution of (rank-2) stress tensor field inside grain/mechanical phase (g) is a rank-4 tensor given by (Liu and Ponte Castañeda, 2004): (3.86)⟨σ′⊗σ′⟩(g)=2c(g)∂U¯∂M(g)=1c(g)∂M¯∂M(g)::(σ′...