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TMF, 2015, Volume 184, Number 1, Pages 92–105 (Mi tmf8846)  

This article is cited in 13 scientific papers (total in 13 papers)

Complete classification of spherically symmetric static space–times via Noether symmetries

F. Alia, T. Ferozea, S. Alib

a School of Natural Sciences, National University of Sciences and Technology, Islamabad, Pakistan
b School of Electrical Engineering and Computer Science, National University of Sciences and Technology, Islamabad, Pakistan

Abstract: We provide a complete classification of spherically symmetric static space–times by their Noether symmetries. We obtain the determining equations for the Noether symmetries using the usual Lagrangian of a general spherically symmetric static space–time and integrate them in each considered case. In particular, we find that spherically symmetric static space–times are categorized into six distinct classes corresponding to the Noether algebras of dimensions $5$, $6$, $7$, $9$, $11$, and $17$. Using Noether`s theorem, we also find the first integrals corresponding to each symmetry. Moreover, we obtain some new spherically symmetric static solutions.

Keywords: Noether symmetry, static space–time

DOI: https://doi.org/10.4213/tmf8846

Full text: PDF file (384 kB)
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English version:
Theoretical and Mathematical Physics, 2015, 184:1, 973–985

Bibliographic databases:

MSC: PACS 11.30.-j-Symmetries and conservation laws, 04.20.-q-Classical general Relativity
Received: 15.12.2014
Revised: 28.01.2015

Citation: F. Ali, T. Feroze, S. Ali, “Complete classification of spherically symmetric static space–times via Noether symmetries”, TMF, 184:1 (2015), 92–105; Theoret. and Math. Phys., 184:1 (2015), 973–985

Citation in format AMSBIB
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    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles

    This publication is cited in the following articles:
    1. A. Jawad, F. Ali, M. U. Shahzad, G. Abbas, “Dynamics of particles around time conformal Schwarzschild black hole”, Eur. Phys. J. C, 76:11 (2016), 586  crossref  isi  scopus
    2. F. Ali, T. Feroze, “Complete classification of cylindrically symmetric static spacetimes and the corresponding conservation laws”, Mathematics, 4:3 (2016), 50  crossref  zmath  isi
    3. S. Ali, I. Hussain, “A study of positive energy condition in Bianchi V spacetimes via Noether symmetries”, Eur. Phys. J. C, 76:2 (2016), 63  crossref  isi  scopus
    4. M. Hickman, Sh.-A. Yazdan, “Noether symmetries of Bianchi type II spacetimes”, Gen. Relativ. Gravit., 49:5 (2017), 65  crossref  mathscinet  zmath  isi  scopus
    5. F. Ali, T. Feroze, “Cylindrically symmetric gravitational-wavelike space–times”, Theoret. and Math. Phys., 193:2 (2017), 1703–1714  mathnet  crossref  crossref  adsnasa  isi  elib
    6. A. Jawad, M. U. Shahzad, “Particle dynamics around time conformal regular black holes via Noether symmetries”, Int. J. Mod. Phys. D, 26:7 (2017), 1750059  crossref  mathscinet  zmath  isi  scopus
    7. B. Jamil, T. Feroze, “Conservation laws corresponding to the Noether symmetries of the geodetic Lagrangian in spherically symmetric spacetimes”, Int. J. Mod. Phys. D, 26:5, SI (2017), 1741006  crossref  mathscinet  zmath  isi  scopus
    8. A. M. Manjonjo, S. D. Maharaj, S. Moopanar, “Conformal vectors and stellar models”, Eur. Phys. J. Plus, 132:2 (2017), 62  crossref  isi  scopus
    9. F. Ali, W. Kh. Mashwani, M. A. Jan, “Correction to the conservation laws in plane symmetric gravitational wave-like spacetimes”, Mod. Phys. Lett. A, 33:21 (2018), 1850123  crossref  mathscinet  zmath  isi  scopus
    10. T. Hussain, S. S. Akhtar, “Energy conditions and conservation laws in LTB metric via Noether symmetries”, Eur. Phys. J. C, 78:8 (2018), 677  crossref  isi  scopus
    11. S. S. Akhtar, T. Hussain, A. H. Bokhari, “Positive energy condition and conservation laws in Kantowski-Sachs spacetime via Noether symmetries”, Symmetry-Basel, 10:12 (2018), 712  crossref  isi  scopus
    12. Akhtar S.S. Hussain T., “Energy Conditions and Conservation Laws in Lrs Bianchi Type i Spacetimes Via Noether Symmetries”, Commun. Theor. Phys., 71:3 (2019), 298–306  crossref  isi  scopus
    13. Ali M., Ali F., Saboor A., Ghafar M.S., Khan A.S., “The Second-Order Correction to the Energy and Momentum in Plane Symmetric Gravitational Waves Like Spacetimes”, Symmetry-Basel, 11:2 (2019), 220  crossref  isi  scopus
  • Теоретическая и математическая физика Theoretical and Mathematical Physics
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