Gravitational lensing by charged black hole in regularized 4D Einstein–Gauss–Bonnet gravity
Among the higher curvature gravities, the most extensively studied theory is the so-called Einstein–Gauss–Bonnet (EGB) gravity, whose Lagrangian contains Einstein term with the GB combination of quadratic curvature terms, and the GB term yields nontrivial gravitational dynamics in D ≥ 5 . Recently t...
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| Published in | The European physical journal. C, Particles and fields Vol. 80; no. 12; pp. 1 - 13 |
|---|---|
| Main Authors | , , |
| Format | Journal Article |
| Language | English |
| Published |
Berlin/Heidelberg
Springer Berlin Heidelberg
01.12.2020
Springer Springer Nature B.V SpringerOpen |
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| Online Access | Get full text |
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| Abstract | Among the higher curvature gravities, the most extensively studied theory is the so-called Einstein–Gauss–Bonnet (EGB) gravity, whose Lagrangian contains Einstein term with the GB combination of quadratic curvature terms, and the GB term yields nontrivial gravitational dynamics in
D
≥
5
. Recently there has been a surge of interest in regularizing, a
D
→
4
limit of, the EGB gravity, and the resulting regularized 4
D
EGB gravity valid in 4
D
. We consider gravitational lensing by Charged black holes in the 4
D
EGB gravity theory to calculate the light deflection coefficients in strong-field limits
a
¯
and
b
¯
, while former increases with increasing GB parameter
α
and charge
q
, later decrease. We also find a decrease in the deflection angle
α
D
, angular position
θ
∞
decreases more slowly and impact parameter for photon orbits
u
m
more quickly, but angular separation
s
increases more rapidly with
α
and charge
q
. We compare our results with those for analogous black holes in General Relativity (GR) and also the formalism is applied to discuss the astrophysical consequences in the case of the supermassive black holes Sgr A* and M87*. |
|---|---|
| AbstractList | Among the higher curvature gravities, the most extensively studied theory is the so-called Einstein–Gauss–Bonnet (EGB) gravity, whose Lagrangian contains Einstein term with the GB combination of quadratic curvature terms, and the GB term yields nontrivial gravitational dynamics in
D
≥
5
. Recently there has been a surge of interest in regularizing, a
D
→
4
limit of, the EGB gravity, and the resulting regularized 4
D
EGB gravity valid in 4
D
. We consider gravitational lensing by Charged black holes in the 4
D
EGB gravity theory to calculate the light deflection coefficients in strong-field limits
a
¯
and
b
¯
, while former increases with increasing GB parameter
α
and charge
q
, later decrease. We also find a decrease in the deflection angle
α
D
, angular position
θ
∞
decreases more slowly and impact parameter for photon orbits
u
m
more quickly, but angular separation
s
increases more rapidly with
α
and charge
q
. We compare our results with those for analogous black holes in General Relativity (GR) and also the formalism is applied to discuss the astrophysical consequences in the case of the supermassive black holes Sgr A* and M87*. Among the higher curvature gravities, the most extensively studied theory is the so-called Einstein–Gauss–Bonnet (EGB) gravity, whose Lagrangian contains Einstein term with the GB combination of quadratic curvature terms, and the GB term yields nontrivial gravitational dynamics in D≥5. Recently there has been a surge of interest in regularizing, a D→4 limit of, the EGB gravity, and the resulting regularized 4D EGB gravity valid in 4D. We consider gravitational lensing by Charged black holes in the 4D EGB gravity theory to calculate the light deflection coefficients in strong-field limits a¯ and b¯, while former increases with increasing GB parameter α and charge q, later decrease. We also find a decrease in the deflection angle αD, angular position θ∞ decreases more slowly and impact parameter for photon orbits um more quickly, but angular separation s increases more rapidly with α and charge q. We compare our results with those for analogous black holes in General Relativity (GR) and also the formalism is applied to discuss the astrophysical consequences in the case of the supermassive black holes Sgr A* and M87*. Among the higher curvature gravities, the most extensively studied theory is the so-called Einstein–Gauss–Bonnet (EGB) gravity, whose Lagrangian contains Einstein term with the GB combination of quadratic curvature terms, and the GB term yields nontrivial gravitational dynamics in $$ D\ge 5$$ D ≥ 5 . Recently there has been a surge of interest in regularizing, a $$ D \rightarrow 4 $$ D → 4 limit of, the EGB gravity, and the resulting regularized 4 D EGB gravity valid in 4 D . We consider gravitational lensing by Charged black holes in the 4 D EGB gravity theory to calculate the light deflection coefficients in strong-field limits $$\bar{a}$$ a ¯ and $$\bar{b}$$ b ¯ , while former increases with increasing GB parameter $$\alpha $$ α and charge q , later decrease. We also find a decrease in the deflection angle $$\alpha _D$$ α D , angular position $$\theta _{\infty }$$ θ ∞ decreases more slowly and impact parameter for photon orbits $$u_{m}$$ u m more quickly, but angular separation s increases more rapidly with $$\alpha $$ α and charge q . We compare our results with those for analogous black holes in General Relativity (GR) and also the formalism is applied to discuss the astrophysical consequences in the case of the supermassive black holes Sgr A* and M87*. Abstract Among the higher curvature gravities, the most extensively studied theory is the so-called Einstein–Gauss–Bonnet (EGB) gravity, whose Lagrangian contains Einstein term with the GB combination of quadratic curvature terms, and the GB term yields nontrivial gravitational dynamics in $$ D\ge 5$$ D ≥ 5 . Recently there has been a surge of interest in regularizing, a $$ D \rightarrow 4 $$ D → 4 limit of, the EGB gravity, and the resulting regularized 4D EGB gravity valid in 4D. We consider gravitational lensing by Charged black holes in the 4D EGB gravity theory to calculate the light deflection coefficients in strong-field limits $$\bar{a}$$ a ¯ and $$\bar{b}$$ b ¯ , while former increases with increasing GB parameter $$\alpha $$ α and charge q, later decrease. We also find a decrease in the deflection angle $$\alpha _D$$ α D , angular position $$\theta _{\infty }$$ θ ∞ decreases more slowly and impact parameter for photon orbits $$u_{m}$$ u m more quickly, but angular separation s increases more rapidly with $$\alpha $$ α and charge q. We compare our results with those for analogous black holes in General Relativity (GR) and also the formalism is applied to discuss the astrophysical consequences in the case of the supermassive black holes Sgr A* and M87*. Among the higher curvature gravities, the most extensively studied theory is the so-called Einstein-Gauss-Bonnet (EGB) gravity, whose Lagrangian contains Einstein term with the GB combination of quadratic curvature terms, and the GB term yields nontrivial gravitational dynamics in [Formula omitted]. Recently there has been a surge of interest in regularizing, a [Formula omitted] limit of, the EGB gravity, and the resulting regularized 4D EGB gravity valid in 4D. We consider gravitational lensing by Charged black holes in the 4D EGB gravity theory to calculate the light deflection coefficients in strong-field limits [Formula omitted] and [Formula omitted], while former increases with increasing GB parameter [Formula omitted] and charge q, later decrease. We also find a decrease in the deflection angle [Formula omitted], angular position [Formula omitted] decreases more slowly and impact parameter for photon orbits [Formula omitted] more quickly, but angular separation s increases more rapidly with [Formula omitted] and charge q. We compare our results with those for analogous black holes in General Relativity (GR) and also the formalism is applied to discuss the astrophysical consequences in the case of the supermassive black holes Sgr A* and M87*. |
| ArticleNumber | 1128 |
| Audience | Academic |
| Author | Kumar, Rahul Islam, Shafqat Ul Ghosh, Sushant G. |
| Author_xml | – sequence: 1 givenname: Rahul surname: Kumar fullname: Kumar, Rahul email: rahul.phy3@gmail.com organization: Centre for Theoretical Physics, Jamia Millia Islamia – sequence: 2 givenname: Shafqat Ul surname: Islam fullname: Islam, Shafqat Ul organization: Centre for Theoretical Physics, Jamia Millia Islamia – sequence: 3 givenname: Sushant G. surname: Ghosh fullname: Ghosh, Sushant G. organization: Centre for Theoretical Physics, Jamia Millia Islamia, Astrophysics and Cosmology Research Unit, School of Mathematics, Statistics and Computer Science, University of KwaZulu-Natal |
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| Snippet | Among the higher curvature gravities, the most extensively studied theory is the so-called Einstein–Gauss–Bonnet (EGB) gravity, whose Lagrangian contains... Among the higher curvature gravities, the most extensively studied theory is the so-called Einstein-Gauss-Bonnet (EGB) gravity, whose Lagrangian contains... Abstract Among the higher curvature gravities, the most extensively studied theory is the so-called Einstein–Gauss–Bonnet (EGB) gravity, whose Lagrangian... |
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| Title | Gravitational lensing by charged black hole in regularized 4D Einstein–Gauss–Bonnet gravity |
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