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 -