In the case of a perturbed Robertson-Walker metric, our analysis leads to an equation which includes the Hubble redshift, the Doppler effect, the gravitational redshift and the Rees-Sciama effects. In the case of the solar system, when the 2PN metric is substituted into the general formula,...
[11]Mei, X. and Yu, P. (2012) Revised Newtonian Formula of Gravity and Equation of Cosmology in Flat Space-Time Transformed from Schwarzschild Solution. International Journal of Astronomy and Astrophysics, 1, 6-29. [12]Mei, X. and Yu, P. (2013) Cosmology Should Directly Use the Doppler...
The formula of the variable transformation is $$u=(1+A)\left(1-\frac{2A}{1+2A-\mu }\right),$$ (23) where A is introduced as a “spreading” parameter for the screened Rutherford distribution. Thus, we have the distribution of the new variable \(u\) expressed as $${q}_{SR}...
It may appear odd that in the above derivation Einstein uses the classical Doppler formula and not the relativistic Doppler formula that he had derived in his original SR paper (Einstein [1905] 1923, 56):ν1 = ν0γ(1 −v/c). But as Einstein had already shown in his 1907 paper...
M. Will 52 where Λαβ is the non-linear "field" contribution given by terms quadratic (and higher) in hαβ and its derivatives (see [94], Eqs. (20.20, 20.21) for formulae). In general relativity, the gravitational field itself generates gravity, a reflection of the nonlinearity of ...
In this paper we propose an experiment designed to observe a general-relativistic effect on single photon interference. The experiment consists of a folded Mach-Zehnder interferometer, with the arms distributed between a single Earth orbiter and a ground
on NT-proBNP were assessed with univariate and multivariate analysis for age, gender, body mass index (BMI), HR, LA volume index, LV mass index, LV volume index, systolic and diastolic blood pressure, serum creatinine, and calculated glomerular filtration rate (GFR; by Cockcroft-Gault formula)...
the time delays Tiin successive excitations. The angle θ is thus changed in increments to steer the transmitted beam in a succession of directions. When the direction of the beam is above central axis 21, the timing of pulses 20 is reversed, but the formula of equation (1) still applies...
When the direction of the beam is above central axis 21, the timing of pulses 20 is reversed, but the formula of equation (1) still applies. Referring still to FIG. 1, the echo signals produced by each burst of ultrasonic energy emanate from reflecting objects located at successive ...
can be expressed as a sum of the speed of sound, C, in the medium and a component of the vector of the speed of the flow, V, along the transmission path115, as best viewed in FIG. 3. Thus, the observed speed of an ultrasonic signal can be calculated using the following formula:...