A static axisymmetric exact solution of f(R)-gravity
We present an exact, axially symmetric, static, vacuum solution for f(R)-gravity in Weyl's canonical coordinates. We obtain a general explicit expression for the dependence of df(R)/dR upon the r and z coordinates and then the corresponding explicit form of f(R), which must be consistent with t...
- Autores:
- Tipo de recurso:
- Fecha de publicación:
- 2013
- Institución:
- Universidad Tecnológica de Bolívar
- Repositorio:
- Repositorio Institucional UTB
- Idioma:
- eng
- OAI Identifier:
- oai:repositorio.utb.edu.co:20.500.12585/9079
- Acceso en línea:
- https://hdl.handle.net/20.500.12585/9079
- Palabra clave:
- Exact solution
F(R)-gravity
Static axisymmetric
- Rights
- restrictedAccess
- License
- http://creativecommons.org/licenses/by-nc-nd/4.0/
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2020-03-26T16:32:54Z2020-03-26T16:32:54Z2013Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics; Vol. 718, Núm. 4-5; pp. 1493-149903702693https://hdl.handle.net/20.500.12585/907910.1016/j.physletb.2012.12.014Universidad Tecnológica de BolívarRepositorio UTB2522546700056013682900We present an exact, axially symmetric, static, vacuum solution for f(R)-gravity in Weyl's canonical coordinates. We obtain a general explicit expression for the dependence of df(R)/dR upon the r and z coordinates and then the corresponding explicit form of f(R), which must be consistent with the field equations. We analyze in detail the modified Schwarzschild solution in prolate spheroidal coordinates. Finally, we study the curvature invariants and show that, in the case of f(R)≠R, this solution corresponds to a naked singularity. © 2012 Elsevier B.V.Consejo Nacional de Ciencia y Tecnología: 290679_UNAMRecurso electrónicoapplication/pdfenghttp://creativecommons.org/licenses/by-nc-nd/4.0/info:eu-repo/semantics/restrictedAccessAtribución-NoComercial 4.0 Internacionalhttp://purl.org/coar/access_right/c_16echttps://www.scopus.com/inward/record.uri?eid=2-s2.0-84872489993&doi=10.1016%2fj.physletb.2012.12.014&partnerID=40&md5=d90838981eaf88ea4c99ddc4fc58eb30A static axisymmetric exact solution of f(R)-gravityinfo:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionArtículohttp://purl.org/coar/version/c_970fb48d4fbd8a85http://purl.org/coar/resource_type/c_2df8fbb1Exact solutionF(R)-gravityStatic axisymmetricGutiérrez-Piñeres A.C.López-Monsalvo, C.S.A.C.G.P. was partially supported by a TWAS-CONACYT Postdoctoral Fellowship Programme. C.S.L.M. acknowledges support from CONACYT grant 290679_UNAM .Sotiriou, T., Faraoni, V., (2010) Reviews of Modern Physics, 82 (1), p. 451Nojiri, S., Odintsov, S., (2011) Physics Reports, 505 (2), p. 59Multamäki, T., Vilja, I., (2006) Physical Review D, 74 (6), p. 064022Azadi, A., Momeni, D., Nouri-Zonoz, M., (2008) Physics Letters B, 670 (3), p. 210Capozziello, S., De Laurentis, M., Stabile, A., (2010) Classical and Quantum Gravity, 27 (16), p. 165008Cembranos, J., de la Cruz-Dombriz, A., Romero, P., Kerr-Newman black holes in f(r) theories, , arxiv:1109.4519Stephani, H., Kramer, D., MacCallum, M., Hoenselaers, C., Herlt, E., (2003) Exact Solutions of Einstein's Field Equations, , Cambridge University PressCarmeli, M., (1977) Group Theory and General Relativity: Representations of the Lorentz Group and Their Applications to the Gravitational Field, , Imperial College Presshttp://purl.org/coar/resource_type/c_6501THUMBNAILMiniProdInv.pngMiniProdInv.pngimage/png23941https://repositorio.utb.edu.co/bitstream/20.500.12585/9079/1/MiniProdInv.png0cb0f101a8d16897fb46fc914d3d7043MD5120.500.12585/9079oai:repositorio.utb.edu.co:20.500.12585/90792023-05-26 16:05:15.459Repositorio Institucional UTBrepositorioutb@utb.edu.co |
| dc.title.none.fl_str_mv |
A static axisymmetric exact solution of f(R)-gravity |
| title |
A static axisymmetric exact solution of f(R)-gravity |
| spellingShingle |
A static axisymmetric exact solution of f(R)-gravity Exact solution F(R)-gravity Static axisymmetric |
| title_short |
A static axisymmetric exact solution of f(R)-gravity |
| title_full |
A static axisymmetric exact solution of f(R)-gravity |
| title_fullStr |
A static axisymmetric exact solution of f(R)-gravity |
| title_full_unstemmed |
A static axisymmetric exact solution of f(R)-gravity |
| title_sort |
A static axisymmetric exact solution of f(R)-gravity |
| dc.subject.keywords.none.fl_str_mv |
Exact solution F(R)-gravity Static axisymmetric |
| topic |
Exact solution F(R)-gravity Static axisymmetric |
| description |
We present an exact, axially symmetric, static, vacuum solution for f(R)-gravity in Weyl's canonical coordinates. We obtain a general explicit expression for the dependence of df(R)/dR upon the r and z coordinates and then the corresponding explicit form of f(R), which must be consistent with the field equations. We analyze in detail the modified Schwarzschild solution in prolate spheroidal coordinates. Finally, we study the curvature invariants and show that, in the case of f(R)≠R, this solution corresponds to a naked singularity. © 2012 Elsevier B.V. |
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2013 |
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2013 |
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2020-03-26T16:32:54Z |
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2020-03-26T16:32:54Z |
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Artículo |
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publishedVersion |
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Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics; Vol. 718, Núm. 4-5; pp. 1493-1499 |
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03702693 |
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https://hdl.handle.net/20.500.12585/9079 |
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10.1016/j.physletb.2012.12.014 |
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Universidad Tecnológica de Bolívar |
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Repositorio UTB |
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25225467000 56013682900 |
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Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics; Vol. 718, Núm. 4-5; pp. 1493-1499 03702693 10.1016/j.physletb.2012.12.014 Universidad Tecnológica de Bolívar Repositorio UTB 25225467000 56013682900 |
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https://hdl.handle.net/20.500.12585/9079 |
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eng |
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eng |
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