Theory and phenomenology of a four dimensional string-corrected black hole

Abstract

We construct an effective four dimensional string-corrected black hole (4D SCBH) by rescaling the string coupling parameter in a $D$-dimensional Callan-Myers-Perry black hole. From the theoretical point of view, the most interesting findings are that the string corrections coincide with the so-called generalized uncertainty principle (GUP) corrections to black hole solutions, Bekenstein-Hawking entropy acquires logarithmic corrections, and that there exists a critical value of the coupling parameter for which the black hole temperature vanishes. We also find that, due to the string corrections the nature of the central singularity may be altered from spacelike to timelike singularity. In addition, we study the possibility of testing such a black hole with astrophysical observations. Since the dilaton field does not decouple from the metric it is not a priori clear that the resulting 4D SCBH offers only small corrections to the Schwarzschild black hole. We used motion of the S2 star around the black hole at the center of our galaxy to constrain the parameters (the string coupling parameter and ADM mass) of the 4D SCBH. To test the weak gravity regime we calculate the deflection angle in this geometry and apply it to gravitational lensing. To test the strong field regime, we calculate the black hole shadow radius. While we find that the observables change as we change the string coupling parameter, the magnitude of the change is too small to distinguish it from the Schwarzschild black hole. With the current precision, to the leading order terms, the 4D SCBH cannot be distinguished from the Schwarzschild black hole.

14 pages, accepted for publication in Universe (Special Issue "Black Holes in Einstein-Gauss-Bonnet Theories")

References in corpus (14)

• An Update on Monitoring Stellar Orbits in the Galactic Center
• Applications of the Gauss-Bonnet theorem to gravitational lensing
• The Shadow of a Spherically Accreting Black Hole
• On Taking the $D\to 4$ limit of Gauss-Bonnet Gravity: Theory and Solutions
• Superradiance evolution of black hole shadows revisited
• Comment on "Einstein-Gauss-Bonnet Gravity in 4-Dimensional Space-Time''
• Modelling the Sgr A* Black Hole Immersed in a Dark Matter Spike
• Axion-plasmon or magnetized plasma effect on an observable shadow and gravitational lensing of a Schwarzschild black hole
• Comment on "Einstein-Gauss-Bonnet Gravity in Four-Dimensional Spacetime"
• $f(R)$-gravity after the detection of the orbital precession of the S2 star around the Galactic centre massive black hole
• The geodesic motion of S2 and G2 as a test of the fermionic dark matter nature of our galactic core
• Eikonal quasinormal modes and shadow of string-corrected $d$-dimensional black holes
• Nonlinear magnetically charged black holes in 4D Einstein-Gauss-Bonnet gravity
• Black Holes in the Scalar-Tensor Formulation of 4D Einstein-Gauss-Bonnet Gravity: Uniqueness of Solutions, and a New Candidate for Dark Matter

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• Regular black holes in Verlinde's emergent gravity
• Charged AdS black holes with finite electrodynamics in 4D Einstein-Gauss-Bonnet gravity
• Circular orbits and accretion disk around a deformed-Schwarzschild black hole in loop quantum gravity
• Tidal effects based on GUP-induced effective metric
• Epicyclic oscillations and accretion disk around a special Buchdahl-inspired spacetime