Recent content by adamdunne

Latex Problem(tidied up) Given: c:=1 Weak field approximation: g^{\mu\mu}=\eta^{\mu\mu}-2\phi Non-diagonal terms zero; -1<<\phi<0 T^{\mu\nu}=(\rho+p)u^\mu\otimes u^\nu+pg^{\mu\nu} u^j=v^j\equiv\frac{dx^j}{dt}<<1 p<<\rho; u^0\approx1 u^0,_\alpha\approx 0 Then one readily derives the...

latex of problem Given: c:=1 Weak field approximation: g^{\mu\mu}=\eta^{\mu\mu}-2\phi Non-diagonal terms zero; -1<<\phi<0 T^{\mu\nu}=(\rho+p)u^\mu\otimes u^\nu+pg^{\mu\nu} u^j=v^j\equiv\frac{dx^j}{dt}<<1;p<<\rho; u^0\approx1; u^0_,\alpha\approx 0 Then one readily derives the...

Given c=1, weak field approx for g: g(/mu,mu)=eta(/mu,mu)-2phi Derive eqn contiuity: d(rho)/dt+u(j)rho,j=-rho u(j/),j (all der. partial) Given T(mu,nu/)=(rho+p)u(mu/)cross u(nu/)+pg(mu,nu/) using divergenceT =0 i.e.T(mu,nu/;nu)=0: Step in the proof is Gamma(0/mu,j)u(mu)=-phi,j I get...