Strong gravitational lensing with Gauss-Bonnet correction

Abstract

In this paper we investigate the strong gravitational lensing in a five dimensional background with Gauss-Bonnet gravity, so that in 4-dimensions the Gauss-Bonnet correction disappears. By considering the logarithmic term for deflection angle, we obtain the deflection angleα and corresponding parametersā andb. Finally, we estimate some properties of relativistic images such as θ ∞ , s and r m .

The time delay in strong gravitational lensing with Gauss-Bonnet correction

“…Under the strong field limit the integral expression for deflection angle is discussed around the radius of photon sphere which leads the deflection angle to be infinitive. We can list that the strong gravitational lensing was applied in a Schwarzschild black hole [8,12], gravitational source with naked singularities [13], a Reissner-Nordstrom black hole [14], a GMGHS charged black hole [15], a spining black hole [16,17], a braneworld black hole [18,19], an Einstein-Born-Infeld black hole [20], a black hole in Brans-Dicke theory [21], a black hole with Barriola-Vilenkin monopole [22,23], a deformed Horava-Lifshitz black hole [24] and a black hole with Gauss-Bonnet correction [25], etc. An analytical method for time delay in strong field approximation was firstly proposed in [11].…”

“…In a five-dimensional spacetime governed by Gauss-Bonnet gravity, the deflection angle with logarithmic term, corresponding parameters a and b and some properties of relativistic images denoted as θ ∞ , s and r m were derived and estimated in the strong field limit in Ref. [24]. It is shown that the Gauss-Bonnet term affects the parameters which could be detected by astronomical instruments.…”

Gravitational lensing by charged black hole in regularized 4D Einstein–Gauss–Bonnet gravity

“…The strong gravitational lensing relevance for predicting the strong-field features of gravity, testing and comparing various theories of gravity in the strong-field regime, estimating black hole parameters, and deducing nature of any matter distributions in black hole background has resulted in a vast, comprehensive literature . Also, the gravitational lensing for various modifications of Schwarzschild geometry arising due to modified gravities, e.g., regular black holes [43,44], massive gravity black holes [45], f (R) black holes [46,47] and Einstein-Gauss-Bonnet (EGB) gravity models [48,49] have been investigated.…”

Strong field gravitational lensing by a charged Galileon black hole

“…Another way to solve the problems is to modify the theory of gravity and these modified theories can generate interesting astrophysical and cosmological consequences [53]. Strong field gravitational lensings can provide a possible way to test and distinguish theoretical predictions in the vicinity of a compact body by these modified theories of gravity and GR [54][55][56][57][58][59][60][61][62][63][64][65][66][67][68][69][70][71][72]. In this work, we will study the string field lensing in the SDL by a charged Galileon black hole.…”