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Modified gravity on the brane and dark energy

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Abstract

We analyze the dynamics of an AdS5 braneworld with matter fields when gravity is allowed to deviate from the Einstein form on the brane. We consider exact five-dimensional warped solutions which are associated with conformal bulk fields of weight –4 and describe on the brane the following three dynamics: those of inhomogeneous dust, of generalized dark radiation, and of homogeneous polytropic dark energy. We show that, with modified gravity on the brane, the existence of such dynamical geometries requires the presence of non-conformal matter fields confined to the brane.

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References

  1. Randall L., Sundrum R. (1999) Phys. Rev. Lett. 83: 3370

    Article  ADS  MathSciNet  MATH  Google Scholar 

  2. Randall L., Sundrum R. (1999) Phys. Rev. Lett. 83: 4690

    Article  ADS  MathSciNet  MATH  Google Scholar 

  3. Goldberger W.D., Wise M.B. (1999) Phys. Rev. D 60: 107505

    Article  ADS  MathSciNet  Google Scholar 

  4. Goldberger W.D., Wise M.B. (1999) Phys. Rev. Lett. 83: 4922

    Article  ADS  Google Scholar 

  5. Goldberger W.D., Wise M.B. (2000). Phys. Lett. B 475, 275

    Article  ADS  Google Scholar 

  6. Kaloper N. (1999). Phys. Rev. D 60: 123506

    Article  ADS  MathSciNet  Google Scholar 

  7. Nihei T. (1999). Phys. Lett. B 465, 81

    Article  ADS  MathSciNet  MATH  Google Scholar 

  8. Csáki C., Graesser M., Kolda C., (1999). Terning J. Phys. Lett. B 462, 34

    Article  ADS  MATH  Google Scholar 

  9. Cline J.M., Grojean C., Servant G. (1999) Phys. Rev. Lett. 83: 4245

    Article  ADS  MathSciNet  MATH  Google Scholar 

  10. Kanti P., Kogan I.I., Olive K.A., Pospelov M. (1999). Phys. Lett. B 468, 31

    Article  ADS  MathSciNet  MATH  Google Scholar 

  11. Kanti P., Kogan I.I., Olive K.A., Pospelov M. (2000) Phys. Rev D 61: 106004

    Article  ADS  MathSciNet  Google Scholar 

  12. DeWolf O., Freedman D.Z., Gubser S.S., Karch A. (2000). Phys. Rev. D 62: 046008

    Article  ADS  MathSciNet  Google Scholar 

  13. Garriga J., Tanaka T. (2000) Phys. Rev. Lett. 84: 2778

    Article  ADS  MathSciNet  MATH  Google Scholar 

  14. Giddings S., Katz E., Randall L. (2000) J. High Energy Phys 03, 023

    Article  ADS  MathSciNet  Google Scholar 

  15. Csáki C., Graesser M., Randall L., Terning J. (2000) Phys. Rev. D 62: 045015

    Article  ADS  MathSciNet  Google Scholar 

  16. Nojiri S., Odintsov S.D. (2000). Phys. Lett. B 484, 119

    Article  ADS  MathSciNet  MATH  Google Scholar 

  17. Tanaka T., Montes X. (2000). Nucl. Phys. B 582, 259

    Article  ADS  MathSciNet  MATH  Google Scholar 

  18. Carter B. (1993). Phys. Rev. D 48: 4835

    Article  ADS  MathSciNet  Google Scholar 

  19. Capovilla R., Guven J. (1995). Phys. Rev. D 51: 6736

    Article  ADS  MathSciNet  Google Scholar 

  20. Capovilla R., Guven J. (1995). Phys. Rev. D 52: 1072

    Article  ADS  MathSciNet  Google Scholar 

  21. Shiromizu T., Maeda K.I., Sasaki M. (2000). Phys. Rev. D 62: 024012

    Article  ADS  MathSciNet  Google Scholar 

  22. Sasaki M., Shiromizu T., Maeda K.I. (2000). Phys. Rev. D 62: 024008

    Article  ADS  MathSciNet  Google Scholar 

  23. Garriga J., Sasaki M. (2000). Phys. Rev. D 62: 043523

    Article  ADS  MathSciNet  Google Scholar 

  24. Maartens R., Wands D., Bassett B.A., Heard I.P.C. (2000). Phys. Rev. D 62: 041301

    Article  ADS  Google Scholar 

  25. Kodama H., Ishibashi A., Seto O. (2000). Phys. Rev. D 62: 064022

    Article  ADS  MathSciNet  Google Scholar 

  26. Langlois D. (2000). Phys. Rev. D 62: 126012

    Article  ADS  MathSciNet  Google Scholar 

  27. van de Bruck C., Dorca M., Brandenberger R.H., Lukas A. (2000). Phys. Rev. D 62: 123515

    Article  ADS  MathSciNet  Google Scholar 

  28. Koyama K., Soda J. (2000). Phys. Rev. D 62: 123502

    Article  ADS  MathSciNet  Google Scholar 

  29. Dadhich N., Maartens R., Papadopoulos P., Rezania V. (2000). Phys. Lett. B 487: 1

    Article  ADS  MathSciNet  MATH  Google Scholar 

  30. Dadhich N., Ghosh S.G. (2001). Phys. Lett. B 518, 1

    Article  ADS  MathSciNet  MATH  Google Scholar 

  31. Germani C., Maartens R. (2001). Phys. Rev. D 64: 124010

    Article  ADS  MathSciNet  Google Scholar 

  32. Bruni M., Germani C., Maartens R. (2001). Phys. Rev. Lett 87: 231302

    Article  ADS  MathSciNet  Google Scholar 

  33. Maartens R. (2000). Phys. Rev. D 62: 084023

    Article  ADS  MathSciNet  Google Scholar 

  34. Neves R., Vaz C. (2002). Phys. Rev. D 66: 124002

    Article  ADS  Google Scholar 

  35. Neves R., Vaz C. (2003). Phys. Rev. D 68: 024007

    Article  ADS  MathSciNet  Google Scholar 

  36. Neves R., Vaz C. (2003). Phys Lett B 568, 153

    Article  ADS  MathSciNet  MATH  Google Scholar 

  37. Neves R. (2004). TSPU Vestnik Natural and Exact Sciences 7, 94

    Google Scholar 

  38. Neves R., Vaz C. (2006) J. Phys. A: Math. Gen. 39: 6617

    Article  ADS  MathSciNet  MATH  Google Scholar 

  39. Elizalde E., Nojiri S., Odintsov S.D., Ogushi S. (2003). Phys. Rev. D 67: 063515

    Article  ADS  MathSciNet  Google Scholar 

  40. Nojiri S., Odintsov S.D.(2003). JCAP 06: 004

    ADS  MathSciNet  Google Scholar 

  41. Elizalde E., Nojiri S., Odintsov S.D. (2004). Phys. Rev. D 70: 043539

    Article  ADS  Google Scholar 

  42. Nojiri S., Odintsov S.D. (2003). Phys. Rev. D 68: 123512

    Article  ADS  MathSciNet  Google Scholar 

  43. Abdalla M.C.B., Nojiri S., Odintsov S.D. (2005). Class. Quantum Grav 22, L35

    Article  ADS  MathSciNet  MATH  Google Scholar 

  44. Nojiri S., Odintsov S.D. (2005) Gen. Rel. Grav. 37: 1419

    Article  ADS  MathSciNet  MATH  Google Scholar 

  45. Bento M.C., Bertolami O., Sen S.S. (2002). Phys. Rev. D 66: 043507

    Article  ADS  Google Scholar 

  46. Bento M.C., Bertolami O., Sen S.S. (2003). Phys. Rev. D 67: 063003

    Article  ADS  MathSciNet  Google Scholar 

  47. Bento M.C., Bertolami O., Sen S.S. (2004). Phys. Rev. D 70: 083519

    Article  ADS  Google Scholar 

  48. Bento M.C., Bertolami O., Santos N.M.C., Sen S.S. (2005). Phys. Rev. D 71: 063501

    Article  ADS  Google Scholar 

  49. Nojiri S., Odintsov S.D. (2004). Phys. Lett. B 599, 137

    Article  ADS  MathSciNet  Google Scholar 

  50. Allemandi G., Borowiec A., Francaviglia M., Odintsov S.D. (2005). Phys. Rev. D 72: 063505

    Article  ADS  Google Scholar 

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Authors and Affiliations

  1. Instituto de Ciencias del Espacio (CSIC) & Institut d’Estudis Espacials de Catalunya (IEEC/CSIC), Campus UAB Facultat de Ciències Torre C5-Parell-2a planta, 08193, Bellaterra (Barcelona), Spain

    Emilio Elizalde

  2. Centro de Electrónica, Optoelectrónica e Telecomunicações (CEOT), Faculdade de Ciências e Tecnologia, Universidade do Algarve, Campus de Gambelas, 8005-139, Faro, Portugal

    Rui Gomes Mendonça Neves

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  1. Emilio Elizalde
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  2. Rui Gomes Mendonça Neves
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Correspondence to Rui Gomes Mendonça Neves.

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Elizalde, E., Neves, R.G.M. Modified gravity on the brane and dark energy. Gen Relativ Gravit 38, 1367–1377 (2006). https://doi.org/10.1007/s10714-006-0316-z

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  • DOI: https://doi.org/10.1007/s10714-006-0316-z

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