TY - JOUR

T1 - The geometrical meaning of time

AU - Yahalom, Asher

PY - 2008/6

Y1 - 2008/6

N2 - It is stated in many text books that the any metric appearing in general relativity should be locally Lorentzian i.e. of the type η μν = diag(1,-1,-1,-1) this is usually presented as an independent axiom of the theory, which can not be deduced from other assumptions. The meaning of this assertion is that a specific coordinate (the temporal coordinate) is given a unique significance with respect to the other spatial coordinates. In this work it is shown that the above assertion is a consequence of requirement that the metric of empty space should be linearly stable and need not be assumed.

AB - It is stated in many text books that the any metric appearing in general relativity should be locally Lorentzian i.e. of the type η μν = diag(1,-1,-1,-1) this is usually presented as an independent axiom of the theory, which can not be deduced from other assumptions. The meaning of this assertion is that a specific coordinate (the temporal coordinate) is given a unique significance with respect to the other spatial coordinates. In this work it is shown that the above assertion is a consequence of requirement that the metric of empty space should be linearly stable and need not be assumed.

KW - General relativity

KW - Stability of solutions

UR - http://www.scopus.com/inward/record.url?scp=45849140045&partnerID=8YFLogxK

U2 - 10.1007/s10701-008-9215-3

DO - 10.1007/s10701-008-9215-3

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AN - SCOPUS:45849140045

SN - 0015-9018

VL - 38

SP - 489

EP - 497

JO - Foundations of Physics

JF - Foundations of Physics

IS - 6

ER -