Abstract
We consider a Vaidya-type radiating spacetime in Einstein gravity with the Gauss-Bonnet combination of quadratic curvature terms. Simply generalizing the known static black hole solutions in Einstein-Gauss-Bonnet gravity, we present an exact solution in arbitrary dimensions with the energy-momentum tensor given by a null fluid form. As an application, we derive an evolution equation for the “dark radiation” in the Gauss-Bonnet braneworld.
Similar content being viewed by others
References
For a nice review, see, e.g., Deruelle, N., Madore, J.: “On the quasi-linearity of the Einstein- ‘Gauss-Bonnet’ gravity field equations” [arXiv:gr-qc/0305004]
Nojiri, S., Odintsov, S.D.: JHEP 0007, 049 (2000) [arXiv:hep-th/0006232]; Nojiri, S., Odintsov, S.D., Ogushi, S.: Phys. Rev. D 65, 023521 (2002) [arXiv:hep-th/0108172]
Kim, J.E., Kyae, B., Lee, H.M.: Nucl. Phys. B 582, 296 (2000) [Erratum-ibid. B 591, 587 (2000)] [arXiv:hep-th/0004005]; Kim, J.E., Lee, H.M.: Nucl. Phys. B 602, 346 (2001) [Erratum-ibid. B 619, 763 (2001)] [arXiv:hep-th/0010093]; Meissner, K.A., Olechowski, M.: Phys. Rev. D 65, 064017 (2002) [arXiv:hep-th/0106203]; Cho, Y.M., Neupane, I.P., Wesson, P.S.: Nucl. Phys. B 621, 388 (2002) [arXiv:hep-th/0104227]; Neupane, I.P.: Class. Quant. Grav. 19, 5507 (2002) [arXiv:hep-th/0106100]; Cho, Y.M., Neupane, I.P.: Int. J. Mod. Phys. A 18, 2703 (2003) [arXiv:hep-th/0112227]; Gregory, J.P., Padilla, A.: Class. Quant. Grav. 20, 4221 (2003) [arXiv:hep-th/0304250]; Charmousis, C., Davis, S.C., Dufaux, J.F.: JHEP 0312, 029 (2003) [arXiv:hep-th/0309083]
Deruelle, N., Sasaki, M.: Prog. Theor. Phys. 110, 441 (2003) [arXiv:gr-qc/0306032]
Neupane, I.P.: Phys. Lett. B 512, 137 (2001) [arXiv:hep-th/0104226]
Charmousis, C., Dufaux, J.F.: Class. Quant. Grav. 19, 4671 (2002) [arXiv:hep-th/0202107]
Randall, L., Sundrum, R.: Phys. Rev. Lett. 83, 3370 (1999) [arXiv:hep-ph/9905221]; Randall, L., Sundrum, R.: Phys. Rev. Lett. 83, 4690 (1999) [arXiv:hep-th/9906064]
Boulware, D.G., Deser, S.: Phys. Rev. Lett. 55, 2656 (1985)
Crisostomo, J., Troncoso, R., Zanelli, J.: Phys. Rev. D 62, 084013 (2000) [arXiv:hep-th/0003271]
Aros, R., Troncoso, R., Zanelli, J.: Phys. Rev. D 63, 084015 (2001) [arXiv:hep-th/0011097]
Cai, R.G., Guo, Q.: Phys. Rev. D 69, 104025 (2004) [arXiv:hep-th/0311020]
Cai, R.G.: Phys. Rev. D 65, 084014 (2002) [arXiv:hep-th/0109133]
Deser, S., Tekin, B.: Phys. Rev. D 67, 084009 (2003) [arXiv:hep-th/0212292]
Deruelle, N., Katz, J., Ogushi, S.: Class. Quant. Grav. 21, 1971 (2004) [arXiv:gr-qc/0310098]
Petrov, A.N.: “A note on the Deser-Tekin charges�� [arXiv:gr-qc/0504058]
Vaidya, P.C.: Nature 171, 260 (1953)
Langlois, D., Sorbo, L., Rodriguez-Martinez, M.: Phys. Rev. Lett. 89, 171301 (2002) [arXiv:hep-th/0206146]
Leeper, E., Maartens, R., Sopuerta, C.F.: Class. Quant. Grav. 21, 1125 (2004) [arXiv:gr-qc/0309080]
Gergely, L.A., Leeper, E., Maartens, R.: Phys. Rev. D 70, 104025 (2004) [arXiv:gr-qc/0408084]
Vernon, I.R., Jennings, D.: “Graviton emission into non-Z(2) symmetric brane world spacetimes” [arXiv:hep-th/0412083]
Jennings, D., Vernon, I.R., Davis, A.C., van de Bruck, C.: “Bulk black holes radiating in non-Z(2) brane-world spacetimes” [arXiv:hep-th/0412281]
Hebecker, A., March-Russell, J.: Nucl. Phys. B 608, 375 (2001) [arXiv:hep-ph/0103214]
Langlois, D., Sorbo, L.: Phys. Rev. D 68, 084006 (2003) [arXiv:hep-th/0306281]
Davis, S.C.: Phys. Rev. D 67, 024030 (2003) [arXiv:hep-th/0208205]
Gravanis, E., Willison, S.: Phys. Lett. B 562, 118 (2003) [arXiv:hep-th/0209076]
Gregory, J.P., Padilla, A.: Class. Quant. Grav. 20, 4221 (2003) [arXiv:hep-th/0304250]
Germani, C., Sopuerta, C.F.: Phys. Rev. Lett. 88, 231101 (2002) [arXiv:hep-th/0202060]
Lidsey, J.E., Nojiri, S., Odintsov, S.D.: JHEP 0206, 026 (2002) [arXiv:hep-th/0202198]
Lidsey, J.E., Nunes, N.J.: Phys. Rev. D 67, 103510 (2003) [arXiv:astro-ph/0303168]
Maeda, K.I., Torii, T.: Phys. Rev. D 69, 024002 (2004) [arXiv:hep-th/0309152]
Maeda, H.: “String effects on final fate of gravitational collapse” [arXiv:gr-qc/0504028]
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Kobayashi, T. A Vaidya-type radiating solution in Einstein-Gauss-Bonnet gravity and its application to braneworld. Gen Relativ Gravit 37, 1869–1876 (2005). https://doi.org/10.1007/s10714-005-0192-y
Received:
Revised:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10714-005-0192-y