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2012

Locally inertial null normal coordinates

Guedens, Raf

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Understand

Locally inertial coordinates are constructed by carrying Riemann normal coordinates on a codimension two spacelike surface along the geodesics normal to it.

Since the normal tangents are labelled by components with respect to a null basis, these coordinates are referred to as null normal coordinates.
They are convenient in the study of local causal horizons.
As an application, the coordinate system is used to specify a vector field that satisfies the Killing equation approximately in a small region and the Killing identity exactly on a single null geodesic.

Locally inertial null normal coordinates · Around

Built on

Misner C W, Thorne K S and Wheeler J A 1973 Gravitation
1973
Earlier work this paper cites.
Kay B S and Wald R M 1991 Theorems on the Uniqueness and Thermal Properties of Stationary, Nonsingular, Quasifree States on Space-Times with a Bifurcate Killing Horizon Phys. Rept
1991
Earlier work this paper cites.

Similar

Iyer V and Wald R M 1994 Some properties of Noether charge and a proposal for dynamical black hole entropy Phys. Rev
1994
Cited alongside, same era.
Jacobson T 1995 Thermodynamics of space-time: The Einstein equation of state Phys. Rev. Lett
1995
Cited alongside, same era.

Then

Bousso R 1999 A Covariant entropy conjecture JHEP
1999
Later among the works it cites.
Guedens R, Jacobson T and Sarkar S 2011 Horizon entropy and higher curvature equations of state (arXiv:1112.6215 [gr-qc])
Original
2011
Later among the works it cites.

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