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Gödel-Type Universes in f(R) Gravity with an Arbitrary Coupling between Matter and Geometry |
| ZHANG Tao1, WU Pu-Xun2, YU Hong-Wei1,2**
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1Department of Physics and Key Laboratory of Low-Dimensional Quantum Structures and Quantum Control of Ministry of Education, Hunan Normal University, Changsha 410081
2Center for Nonlinear Science and Department of Physics, Ningbo University, Ningbo 315211
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| Cite this article: |
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ZHANG Tao, WU Pu-Xun, YU Hong-Wei 2011 Chin. Phys. Lett. 28 120401 |
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Abstract By studying the Gödel-type solution, the causality in f(R) gravity with an arbitrary coupling between matter and geometry is discussed. Assuming that the matter source is a perfect fluid and a scalar field, respectively, we find that for the perfect fluid case, noncausal Gödel−type solutions exist and there is a critical radius rc beyond which the causality is violated. For the scalar field case, the violation of causality is forbidden.
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| Keywords:
04.50.Kd
98.80.Jk
95.30.Sf
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Received: 22 September 2011
Published: 29 November 2011
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| PACS: |
04.50.Kd
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(Modified theories of gravity)
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98.80.Jk
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(Mathematical and relativistic aspects of cosmology)
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95.30.Sf
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(Relativity and gravitation)
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