Ultrastatic spacetimes

T. Fulton, F. Rohrlich and L. Witten, “Conformal invariance in physics”, Rev. Mod. Phys

1962

Earlier work this paper cites.

S. A. Fulling, “Alternative vacuum states in static space-times with horizons”, J. Phys. A

1977

Earlier work this paper cites.

J. S. Dowker and G. Kennedy, “Finite temperature and boundary effects in static space-times”, J. Phys. A

1978

Earlier work this paper cites.

W. Rindler,

1979

Earlier work this paper cites.

M. R. Brown, A. C. Ottewill and S. T. C. Siklos, “Comments on conformal Killing vector fields and quantum field theory”, Phys. Rev. D

1983

Cited alongside, same era.

R. M. Wald,

1984

Cited alongside, same era.

M. A. Abramowicz and A. R. Prasanna, “Centrifugal-force reversal near a Schwarzschild black hole”, Mon. Not. R. Astron. Soc

1990

Cited alongside, same era.

M. A. Abramowicz, B. Carter and J. P. Lasota, “Optical reference geometry for stationary and static dynamics”, Gen. Relativ. Gravit

1993

Cited alongside, same era.

Latin letters

Cited in the paper.

I focus on transformations that admit generators, so in particular I am not dealing with discrete transformations

Cited in the paper.

In fact, it is a subspace of the larger space of transformations that preserve the synchronous gauge for an arbitrary metric, when the coefficients

Cited in the paper.

This result could also be obtained looking for the

Cited in the paper.

The two-dimensional metrics are both flat iff their scalar curvatures (containing the same information as the full Riemann tensor) are

Cited in the paper.

This idea has been made more precise in a series of papers about the notion of inertial forces in general relativity

1996

Later among the works it cites.

M. Kaku,

1997

Later among the works it cites.

H. Stephani,

2003

Later among the works it cites.