... FLRW backgrounds We shall now consider a few examples of solutions constructed using the Kaluza - Klein ansatz explained in the previous section . This allows us to ... FLRW backgrounds 161 Solitons on radiative, and other, FLRW backgrounds.
... FLRW : all the quantities that vanish in the FLRW case , are at most first - order here . Thus the only zero - order 1+ 3 covariantly defined quantities are those that are non - vanishing in FLRW universes . 8.5.3 . Proving almost - FLRW ...
... FLRW form . The last equality follows on considering the conditions ( rac ) ( FLRW ) in obvious notation , ( the basic assumption of the MG averaging scheme ) . Eqn . ( 35 ) reduces the line element on M to the form bc ( M ) ds2 = dt2 ...
... FLRW solution as a perturbation on the de Sitter background Strongly or weakly perturbed FLRW spacetimes are naturally related to FLRW background universe which is an exact, time-dependent solution of Einstein's equations. However, the FLRW ...
George F. R. Ellis, Roy Maartens, Malcolm A. H. MacCallum. 9.8 Origin of FLRW geometry The FLRW models are very exceptional within the family of all cosmological models , because of their very high symmetry ( see Chapter 17 ) . Why is ...
... FLRW dust (recall the matter-dominated cosmology solutions from chapter 3). The dynamic mass M of the surrounding Schwarzschild metric is not necessarily equal to the proper mass Mp of the FLRW dust [Stuckey, 1994]; M = Mp in the flat ...
A solution of the Einstein equations is by definition cosmological if it can reproduce the Friedmann (1922, 1924), Lemaitre (1927, 1931), Robertson (1929, 1933), and Walker (1935) (FLRW) metric by taking limiting values of arbitrary ...
... ( FLRW ) ( FLRW ) time was assumed to be of the form gab = 9ab + hab , where gab is the FLRW metric and hab is a small perturbation . A spatial averaging was defined using the proper spatial 3 - volume element of the background FLRW ...
... FLRW state with respect to the inflaton. With the FLRW state obtained in this way, expectation one can values calculate at each with given numerical value of methods φ. ̃ the desired The more difficult part of this program is the ...
... FLRW are , and the questions raised sometimes concerning their possible instability or zero - measure in a hypothetical space of metrics may no longer be held unless they are also raised against FLRW cosmologies themselves . 19 Of ...