Inferring the Cosmological Parameters: GRBs as Standard Candles?
The fact that GRBs are detected up to very high redshifts (the current record holder, GRB 050904, is at z = 6.29) makes it tempting to try and use them as standard candles that could be used to constrain the cosmological parameters, similar to SNe Ia. The problem is that GRBs appear to be anything but standard candles: they have a very wide range of isotropic equivalent luminosities and energy outputs. Several suggestions have been made to calibrate them as better standard candles by using correlations between various properties of the prompt emission, and in some cases also the afterglow emission. While there is good motivation for such cosmological applications of GRBs, there are many practical difficulties. There is no good sample of nearby (z << 1) GRBs that can be used in order to calibrate these correlations, and furthermore the few known nearby events appear to be intrinsically very different from events at higher redshifts. One might also expect a significant evolution of the intrinsic properties of GRBs with redshift (also between intermediate and high redshifts) which can be hard to disentangle from cosmological effects. In addition, even after properly accounting for the observed correlations, the scatter in the luminosity of the standardized candles is still fairly large. We will discuss the pros and cons, as well as prospects for the future.
- Recommended Reading:
- (Amati et al. 2002): Discusses a correlation between the peak photon energy of the \nu F_\nu spectrums, E_p, and the isotropic equivalent energy output in gamma-rays, E_{iso}, of the form E_p \propto E_{iso}^{0.5}, which can be used foir cosmological applications.
- (Ghirlanda et al. 2004): It discusses a correlation between the "true" (corrected for beaming, using the jet break time in the afterglow light curve) energy output on gamma-rays, E_\gamma, and the peak photon energy of the prompt emission, E_p, of the form: E_p \propto E_\gamma^{0.7}, which is claimed to have a smaller scatter than the Amati relation (E_P \propto E_{iso}^{0.5}), and mey therefore be better for cosmological applications.
- (Lazzati et al. 2006; conference proceedings): brief overview of the attemps of using GRB as standard candles to study cosmology.
- (Nakar & Piran 2005): Discusses the large intrinsic scatter in the Amati relation and possible observational biasses, that may pose a seriuos problem for cosmological applications
- Additional Reading (not required):
- (Ghirlanda et al. 2003, ApJ, 613, L13 ): Short paper about cosmological applications
- Nakar & Piran 2005 (astro-ph/0503517), revoking the claims of Ghirlanda et al. (2005)
- Band, D. L. \& Preece, R. D. 2005, ApJ, 627, 319 (astro-ph/0501559): similar conclusions as Nakar & Piran 2005, using a larger sample; address also the Ghirlanda relation
- (Friedman, A. S. \& Bloom, J.S. 2005, ApJ, 627, 1): Discusses the application of the Ghirlanda rtelation for inferring the cosmological parameters, does a careful job, stresses the uncertainties the problems that must be dealt with, and urges for caution.
- Ghirlanda, G. et al. 2005, Nuovo Cim. 28C, 639-646 (astro-ph/0504306, conference proceedings): summary of how GRBs could be used as standerd(izable) candles in ordeer to constrain the cosmology.
- Ghirlanda, G., Ghisellini, G. \& Firmani, C. 2005, MNRAS, 361, L10 (astro-ph/0502186): Studies the Amati relation (E_p \propto E_{iso}^{0.5) using a smaple of 442 BATSE bursts wuth redshift estimated using the lag-luminosity relation.
- (Dai, Z. G., Liang, E. W. \& Xu, D. 2004, ApJ, 612, L101): Different authors (other than the Italian group) who suggest a very similar use of the Ghirlanda relation in order to use GRBs as standerd(izable) candles in order to constrain the cosmological parameters.
- (Lloyd, N. M. \& Petrosian, V. 1999, ApJ, 511, 550): An earlier study of the spectral properties of the prompt GRB emission and its fluence.
- (Lloyd, N. M., Petrosian, V. \& Mallozzi, R.S. 2000, ApJ, 534, 227): Discusses correlations between E_p and the fluence or peak flux (conclusion very similar to the Amati relation, between E_p and E_{iso}, but came out earlier) and takes into account data truncation effects.
- Talk at the GLAST Meeting (Giancarli Ghirlanda)