Erratum to: Black hole solution and strong

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Web End = Eur. Phys. J. C (2015) 75:331DOI 10.1140/epjc/s10052-015-3556-9

Erratum

http://crossmark.crossref.org/dialog/?doi=10.1140/epjc/s10052-015-3556-9&domain=pdf

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Web End = Erratum to: Black hole solution and strong gravitational lensing in Eddington-inspired BornInfeld gravity

Shao-Wen Weia, Ke Yangb, Yu-Xiao LiucInstitute of Theoretical Physics, Lanzhou University, Lanzhou 730000, Peoples Republic of China

Received: 24 June 2015 / Accepted: 6 July 2015 / Published online: 17 July 2015 The Author(s) 2015. This article is published with open access at Springerlink.com

Erratum to: Eur Phys J C (2015) 75:253DOI 10.1140/epjc/s10052-015-3469-7

In the published paper, there were two issues on the gravitational lensing that need to be corrected and claried.(i) The deection angle (r0) of the photon (see Eqs. (42) and (43) in the published paper) for the most general static spherically symmetric metric ds2 = A(r)dt2 + B(r)dr2 +

C(r)(d2 + sin2 d2) was in fact obtained by Virbhadra

et al. [1] in the year 1998.

(r0) = I (r0) , (1) I (r0) = 2 [integraldisplay]

C (r)

C(r) =

A (r)

A(r) , (4)

which reduces to A r = 2A, and Eq. (44) of our published

paper will be obtained.

Thus, in this erratum, we clarify that these authors derived such equations that we ignored stating in the published paper.

We are immensely grateful to K. S. Virbhadra for pointing out these to us.

Open Access This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/

Web End =http://creativecomm http://creativecommons.org/licenses/by/4.0/

Web End =ons.org/licenses/by/4.0/ ), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.

Funded by SCOAP3.

C[radicalBig]

C A0

C0 A 1

dr. (2)

In the same paper, they [1] also obtained impact parameter

J(r0) of the deected light:

J(r0) = r0[radicalBigg]

C(r0)

A(r0) (3)

that we used in calculating impact parameter of photon sphere.(ii) Photon sphere. Virbhadra and Ellis [2] and Claudel et al. [3] gave 2 different denitions of photon sphere for a general static spherically symmetric space-time and then they [3,4] showed that both denitions give same result:

The online version of the original article can be found under doi:http://dx.doi.org/10.1140/epjc/s10052-015-3469-7

Web End =10.1140/epjc/s10052-015-3469-7 .

a e-mail: mailto:[email protected]

Web End [email protected]

b e-mail: mailto:[email protected]

Web End [email protected]

c e-mail: mailto:[email protected]

Web End [email protected]

References

1. K.S. Virbhadra, D. Narasimha, S.M. Chitre, Astron. Astrophys. 337, 1 (1998)

2. K.S. Virbhadra, G.F.R. Ellis, Phys. Rev. D 62, 084003 (2000)3. C.M. Claudel, K.S. Virbhadra, G.F.R. Ellis, J. Math. Phys. 42, 818 (2001)

4. K.S. Virbhadra, G.F.R. Ellis, Phys. Rev. D 65, 103004 (2002)