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Essay:Hubble redshift in Einstein's universe (view source)
Revision as of 12:52, September 28, 2011
, 12:52, September 28, 2011→Derivation of Hubble "constant"
:<math>d^2E/dr = \Lambda E </math> ...... (1)
:<math>d^2E/dr = \Lambda E </math> ...... (1)
Substituting <math>1/R^2</math> math>\Lambda</math> and solving the equation with initial conditions <math>E(r=0)=E_o</math> and <math>(dE/dr)(r=0)=-E_o/R</math> (meaning selecting a solution that makes physical sense) one gets
Substituting <math>1/R^2</math> for <math>\Lambda</math> and solving the equation with initial conditions <math>E(r=0)=E_o</math> and <math>(dE/dr)(r=0)=-E_o/R</math> (meaning selecting a solution that makes physical sense) one gets
:<math>E / E_o=exp(-r/R)</math> ...... (2)
:<math>E / E_o=exp(-r/R)</math> ...... (2)