--- title: "Geodesics in Gödel-Type Space-Times • CBPF Index" description: "CBPF INDEX is the system that tracks the scientific and technological output of CBPF. It lists the articles, books, technical reports and other publications of the whole CBPF community." canonical_url: "https://index.cbpf.br/en/publicacoes/6ad2a767639f62b11adbb764" locale: en meta: "og:description": "CBPF INDEX is the system that tracks the scientific and technological output of CBPF. It lists the articles, books, technical reports and other publications of the whole CBPF community." "og:image": "https://index.cbpf.br/_og/d/c_Item%2Ctitulo_~R2VvZGVzaWNzIGluIEfDtmRlbC1UeXBlIFNwYWNlLVRpbWVz%2Ctipo_Physics%2BNote%2Ccor_~I2E4MmMwMA%2Cautores_~TS4gTy4gQ2FsdmFvOyBJdmFubyBEYW1pw6NvIFNvYXJlczsgSi4gVGlvbW5v%2Cdetalhe_1988%2Csecao_Publications%2Cp_Ii9lbi9wdWJsaWNhY29lcy82YWQyYTc2NzYzOWY2MmIxMWFkYmI3NjQi%2Cs_fOx95VpJm6MJqKEW.png" "og:image:height": "600" "og:image:type": image/png "og:image:width": "1200" "og:title": "Geodesics in Gödel-Type Space-Times • CBPF Index" "twitter:image": "https://index.cbpf.br/_og/d/c_Item%2Ctitulo_~R2VvZGVzaWNzIGluIEfDtmRlbC1UeXBlIFNwYWNlLVRpbWVz%2Ctipo_Physics%2BNote%2Ccor_~I2E4MmMwMA%2Cautores_~TS4gTy4gQ2FsdmFvOyBJdmFubyBEYW1pw6NvIFNvYXJlczsgSi4gVGlvbW5v%2Cdetalhe_1988%2Csecao_Publications%2Cp_Ii9lbi9wdWJsaWNhY29lcy82YWQyYTc2NzYzOWY2MmIxMWFkYmI3NjQi%2Cs_fOx95VpJm6MJqKEW.png" --- > Index of every page on this site: [llms.txt](https://index.cbpf.br/llms.txt) **Physics Note****Published** # **Geodesics in Gödel-Type Space-Times** **M. O. Calvao; Ivano Damião Soares; J. Tiomno** 1988 [**Download PDF **0.6 MB](https://index.cbpf.br/files/publicacao/6ad2a767639f62b11adbb764/pdf) [**Contact owner**](mailto:apub@cbpf.br?subject=Geodesics%20in%20G%C3%B6del-Type%20Space-Times) ## **Publication details**
Authors
M. O. Calvao; Ivano Damião Soares; J. Tiomno
Type
Physics Note
Status
Published
Publication date
1988
Description
We investigate the geodesic curves of the homogeneous Godel-type space-times, which constitute a two-parameter <math>(\ell\!</math> and <math> \Omega)\,\!</math> class of solutions presented to several theories of gravitation (general relativity, Einstein?Cartan and higher derivative). To this end, we first examine the qualitative properties of those curves by means of the introduction of an effective potential and then accomplish the analytical integration of the equations of motion. We show that some of the qualitative features of the free motion in Gödel's universe <math>(\ell^2=2\Omega^2)\,\!</math> are preserved in all space-times, namely:(a) the projections of the geodesics onto the 2-surface <math>(r,\varphi)\,\!</math> are simple closed curves, and (b) the geodesics for which the ratio of azymuthal angular momentum to total energy,<math>\gamma\,\!</math>, is equal to zero always cross the origin <math>r = \emptyset\,\!</math>. However, two new cases appear: (i) radially unbounded geodesics with <math>\gamma\,\!</math> assuming any (real) value, which may occur only for the causal space-times <math>(\ell^2 \ge 4\Omega^2\,\!)</math>, and (ii) geodesics with <math> \gamma \,\!</math> bounded both below and above,which always occur for the circular family <math>(\ell^2 < \emptyset\,\!)</math> of space-times.
Year
1988
Number
CBPF-NF-065/88
Linked to a thesis
No
Linked to a grant
No
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