TY - JOUR

T1 - Static spherically symmetric black holes in weak f (T)-gravity

AU - Pfeifer, Christian

AU - Schuster, Sebastian

N1 - Funding information: S.S. was supported by OP RDE project No. CZ.02.2.69/0.0/0.0/18_053/0016976 International mobility of research, technical and administrative staff at the Charles University, and also acknowledges partial and indirect support by the Marsden Fund of the Royal Society of New Zealand. C.P. was funded by the Deutsche Forschungsgemeinschaft (DFG, German Research Foundation)— Project Number 420243324.

PY - 2021

Y1 - 2021

N2 - With the advent of gravitational wave astronomy and first pictures of the “shadow” of the central black hole of our milky way, theoretical analyses of black holes (and compact objects mimicking them sufficiently closely) have become more important than ever. The near future promises more and more detailed information about the observable black holes and black hole candidates. This information could lead to important advances on constraints on or evidence for modifications of general relativity. More precisely, we are studying the influence of weak teleparallel perturbations on general relativistic vacuum spacetime geometries in spherical symmetry. We find the most general family of spherically symmetric, static vacuum solutions of the theory, which are candidates for describing teleparallel black holes which emerge as perturbations to the Schwarzschild black hole. We compare our findings to results on black hole or static, spherically symmetric solutions in teleparallel gravity discussed in the literature, by comparing the predictions for classical observables such as the photon sphere, the perihelion shift, the light deflection, and the Shapiro delay. On the basis of these observables, we demonstrate that among the solutions we found, there exist spacetime geometries that lead to much weaker bounds on teleparallel gravity than those found earlier. Finally, we move on to a discussion of how the teleparallel perturbations influence the Hawking evaporation in these spacetimes.

AB - With the advent of gravitational wave astronomy and first pictures of the “shadow” of the central black hole of our milky way, theoretical analyses of black holes (and compact objects mimicking them sufficiently closely) have become more important than ever. The near future promises more and more detailed information about the observable black holes and black hole candidates. This information could lead to important advances on constraints on or evidence for modifications of general relativity. More precisely, we are studying the influence of weak teleparallel perturbations on general relativistic vacuum spacetime geometries in spherical symmetry. We find the most general family of spherically symmetric, static vacuum solutions of the theory, which are candidates for describing teleparallel black holes which emerge as perturbations to the Schwarzschild black hole. We compare our findings to results on black hole or static, spherically symmetric solutions in teleparallel gravity discussed in the literature, by comparing the predictions for classical observables such as the photon sphere, the perihelion shift, the light deflection, and the Shapiro delay. On the basis of these observables, we demonstrate that among the solutions we found, there exist spacetime geometries that lead to much weaker bounds on teleparallel gravity than those found earlier. Finally, we move on to a discussion of how the teleparallel perturbations influence the Hawking evaporation in these spacetimes.

KW - Birkhoff theorem

KW - Black hole sparsity

KW - Black holes

KW - Horizon

KW - Light deflection

KW - Perihelion shift

KW - Photon sphere

KW - Shapiro delay

KW - Teleparallel gravity

UR - http://www.scopus.com/inward/record.url?scp=85108257107&partnerID=8YFLogxK

U2 - 10.3390/universe7050153

DO - 10.3390/universe7050153

M3 - Article

AN - SCOPUS:85108257107

VL - 7

JO - Universe

JF - Universe

IS - 5

M1 - 153

ER -