Causal Anomalies in Kaluza-Klein Gravity Theories

Details Causal Anomalies in Kaluza-Klein Gravity Theories Causal Anomalies in Kaluza-Klein Gravity Theories

1998-08-18

arxiv.org/abs/gr-qc/9808049v1

Int.J.Mod.Phys. A13 (1998) 3181-3192

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

16 page. LaTex file. To appear in Int. J. Mod. Phys. A (1998)

Scientific paper

10.1142/S0217751X98001578

Causal anomalies in two Kaluza-Klein gravity theories are examined, particularly as to whether these theories permit solutions in which the causality principle is violated. It is found that similarly to general relativity the field equations of the space-time-mass Kaluza-Klein (STM-KK) gravity theory do not exclude violation of causality of G\"odel type, whereas the induced matter Kaluza-Klein (IM-KK) gravity rules out noncausal G\"odel-type models. The induced matter version of general relativity is shown to be an efficient therapy for causal anomalies that occurs in a wide class of noncausal geometries. Perfect fluid and dust G\"odel-type solutions of the STM-KK field equations are studied. It is shown that every G\"odel-type perfect fluid solution is isometric to the unique dust solution of the STM-KK field equations. The question as to whether 5-D G\"odel-type non-causal geometries induce any physically acceptable 4-D energy-momentum tensor is also addressed.

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