Abstract
We obtain a high-dimensional Schwarzschild black hole solution in the scalar–tensor–vector gravity (STVG), and then analyze the influence of parameter alpha associated with a deviation of the STVG theory from General Relativity on event horizons and Hawking temperature. We calculate the quasinormal mode frequencies of massless scalar field perturbations for the high-dimensional Schwarzschild STVG black hole by using the sixth-order WKB approximation method and the unstable null geodesic method in the eikonal limit. The results show that the increase of parameter alpha makes the scalar waves decay slowly, while the increase of the spacetime dimension makes the scalar waves decay fast. In addition, we study the influence of parameter alpha on the shadow radius of this high-dimensional Schwarzschild STVG black hole and find that the increase of parameter alpha makes the black hole shadow radius increase, but the increase of the spacetime dimension makes the black hole shadow radius decrease. Finally, we investigate the energy emission rate of the high-dimensional Schwarzschild STVG black hole, and find that the increase of parameter alpha makes the evaporation process slow, while the increase of the spacetime dimension makes the process fast.
Highlights
The gravitational waves from a binary black hole merger detected by LIGO and Virgo collaborations [1, 2] and the first black hole image from the supermassive black hole in the center of galaxy M87 detected by the Event Horizon Telescope (EHT) collaboration [3, 4] have greatly stimulated our enthusiasm in black hole physics
We find that the increase of the parameter α makes the real part and the negative imaginary part monotonically decrease in spacetime dimension D = 4, 5, 6, 7, which means that the larger the parameter α is, the more slowly the scalar wave oscillates and decays in the highdimensional Schwarzschild scalar-tensor-vector gravity (STVG) black hole spacetime
We find that the increase of parameter α makes the event horizon radius increase and the Hawking temperature decrease
Summary
The gravitational waves from a binary black hole merger detected by LIGO and Virgo collaborations [1, 2] and the first black hole image from the supermassive black hole in the center of galaxy M87 detected by the Event Horizon Telescope (EHT) collaboration [3, 4] have greatly stimulated our enthusiasm in black hole physics. We can see that the event horizon radius rH increases with the increase of the parameter α when D = 5, 6, 7, which is similar to the situation of the four-dimensional Schwarzschild STVG black hole.
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