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A.Einstein, Sitzungsher.d.Preuss Akad.d.Wissench,Pt.1,433(1919) . English translation in H.A. Lorentz, A. Einstein etal, The principle of relativity, Dover,New Yor(1952)
1952
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J.Anderson,D.Finkelstein,Amer.J.Phys. 39/8
1971
Earlier work this paper cites.

Similar

J.J.Van der Bij et.al,Physica A
1982
Cited alongside, same era.
S.Weinberg,Rev.Mod.Phys.61:1-23,1989
1989
Cited alongside, same era.

Then

D.Finkelstein etal.,J.Math.phys.42(1) 340-346,Jan 2001
2001
Later among the works it cites.
E.Alvarez, JHEP 03(2005)002
2005
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2007

Density-metric unimodular gravity:vacuum spherical symmetry

Abbassi, Amir H., Abbassi, Amir M.

Understand

We analyze an alternative theory of gravity characterized by metrics that are tensor density of rank(0,2)and weight-1/2.The metric compatibility condition is supposed to hold.

The simplest expression for the action of gravitational field is used.Taking the metric and trace of connections as dynamical variables,the field equations in the absence of matter and other kinds of sources are derived.The solutions of these equations are obtained for the case of vacuum static spherical symmetric spacetime.The null geodesics and advance of perihelion of ellipes are discussed.We confirm a subclass of solutions is regular for r>0 and there is no event horizon while it is singular at r=0.