On wave solutions of Einstein's field equations of general relativity containing zero-rest-mass scalar fields

Krishna Behari Lal; Anirudh Pradhan

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti (1976)

  • Volume: 61, Issue: 1-2, page 109-114
  • ISSN: 0392-7881

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Lal, Krishna Behari, and Pradhan, Anirudh. "On wave solutions of Einstein's field equations of general relativity containing zero-rest-mass scalar fields." Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti 61.1-2 (1976): 109-114. <http://eudml.org/doc/291100>.

@article{Lal1976,
author = {Lal, Krishna Behari, Pradhan, Anirudh},
journal = {Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti},
language = {eng},
month = {8},
number = {1-2},
pages = {109-114},
publisher = {Accademia Nazionale dei Lincei},
title = {On wave solutions of Einstein's field equations of general relativity containing zero-rest-mass scalar fields},
url = {http://eudml.org/doc/291100},
volume = {61},
year = {1976},
}

TY - JOUR
AU - Lal, Krishna Behari
AU - Pradhan, Anirudh
TI - On wave solutions of Einstein's field equations of general relativity containing zero-rest-mass scalar fields
JO - Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti
DA - 1976/8//
PB - Accademia Nazionale dei Lincei
VL - 61
IS - 1-2
SP - 109
EP - 114
LA - eng
UR - http://eudml.org/doc/291100
ER -

References

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  1. BRAHMACHARY, R. L. (1960) - A solution of the combined gravitational and mesic field equations in general relativity, «Prog. Theor. Phys.», 23, 749-750. 
  2. BERGMANN, O. and LEIPNIK, R. (1957) - Space-time structure of a static spherically symmetric scalar field, «Phys. Rev.», 107, 1157-1161. MR91831
  3. BUCHDAHL, H. A. (1959) - Reciprocal static metrics and scalar fields in the general theory of relativity, «Phys. Rev.», 115, 1325-1328. Zbl0087.42405MR108346
  4. JANIS, A., NEWMAN, E. T. and WINICOUR, J. (1968) - Reality of the Schwarzschild singularity, «Phys. Rev. Let.», 20, 878-880. 
  5. ISRAEL, W. (1967) - Event horizons in static vacuum space-times, «Phys. Rev.», 164, 1776-1779. 
  6. PENNEY, R. (1968) - Axially symmetric zero-rest-mass solutions of Einstein's equations, «Phys. Rev.», 174, 1578-1579. 
  7. GAUTREAU, R. (1969) - Coupled Weyl gravitational and zero-rest-mass scalar fields, «Nuovo Cim.», B62, 360-370. 
  8. LAL, K. B. and SINGH, T. (1973) - Cylindrical wave solutions of Einstein's field equations of general relativity containing zero-rest-mass scalar fields, I, «Tensor, N.S.», 27, 211-216. Zbl0281.53026
  9. LAL, K. B. and SINGH, T. (1974) - A non-singular zero-rest-mass scalar field, «Tensor, N.S.», 28, 250. Zbl0294.53027
  10. SINGH, T. (1974) - A plane symmetric solution of Einstein's field equations of general relativity containing zero-rest-mass scalar fields, «GRG», 5 (6), 657-662. Zbl0342.53028MR414002
  11. PATEL, L. K. (1975) - Plane-symmetric zero mass meson solution of Einstein's equations, «Tensor, N.S.», 29, 237-250. Zbl0311.53041MR373545
  12. LAL, K. B. and PRADHAN, A. (1975) - On wave solutions of the field equations of general relativity containing electromagnetic fields in a generalized Peres space-time, «Acc. Naz. dei Lincei», ser. VIII, 58 (2), 216-219. MR416440
  13. TAKENO, H. (1961) - The mathematical theory of plane gravitational waves in general relativity, «Sci. Rep. Inst. Theo. Phy. Hiroshima University», 1. Zbl0173.30802MR145964
  14. SNEDDON, I. N. (1957) - Elements of Partial Differential Equations, McGraw-Hill Kogakusha, Ltd. Chapter II. Zbl0077.09201MR82600

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