Truesdell transport in general relativity

Details Truesdell transport in general relativity Truesdell transport in general relativity

Dec 1983

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1983gregr..15.1107w&link_type=abstract

General Relativity and Gravitation, Volume 15, Issue 12, pp.1107-1114

Physics

4

Scientific paper

The Truesdell transport of a contravariant tensor fieldX ab is defined with respect to a time-like vector fieldu a analogous to the classical definition in continuum mechanics. Truesdell stress rate of the shear tensor (σ ab) and the metric tensor (g ab ) is Truesdell transported alongl a if and only if the medium is rigid. In case of two-dimensional projection operatorsγ ab andγ *ab are Truesdell transported along timelike vector fieldu a if and only if they are expansion free (alongu a ) withtau = λ - bar σ + μ - ρ = 0. A collapsing perfect fluid is Truesdell transported with respect tou a if and only if it is expansion free (alongu a ), energy density (D), pressure (P), and density of neutrino radiation (q) are conserved alongu a withσt=λ,α + bar β = tau = 0. In all the above cases, analogous results are found alongl a ,n a , andm a using freedom conditions (k=ɛ=π=γ+γ -=0) as null rays are always restricted to be geodesic (Carter [1]).

Affiliated with

Also associated with

No associations

Rating

Truesdell transport in general relativity does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Truesdell transport in general relativity, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Truesdell transport in general relativity will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-1803216