2021
DOI: 10.3390/galaxies9010004
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Gravitational Measurements in Higher Dimensions

Abstract: We attempt to study three significant tests of general relativity in higher dimensions, both in commutative and non-commutative spaces. In the context of non-commutative geometry, we will consider a solution of Einstein’s equation in higher dimensions, with a source given by a static, spherically symmetric Gaussian distribution of mass. The resulting metric would describe a regular or curvature singularity free black hole in higher dimensions. The metric should smoothly interpolate between Schwarzschild geomet… Show more

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Cited by 5 publications
(4 citation statements)
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References 80 publications
(120 reference statements)
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“…It can be checked from Fig (4). and Fig (7). that the time period of the neutrino spin oscillations probability increases with increasing dimensions:…”
mentioning
confidence: 87%
See 1 more Smart Citation
“…It can be checked from Fig (4). and Fig (7). that the time period of the neutrino spin oscillations probability increases with increasing dimensions:…”
mentioning
confidence: 87%
“…In Fig. (7) the neutrino spin transition probability P (t) for RN metric is plotted in three together with higher dimensions. It is seen that the behaviour is the same as Schwarzschild metric i.e., by increasing the dimension of space, the time period of oscillations increases.…”
Section: Neutrino Spin Oscillations In Gravitational Fieldsmentioning
confidence: 99%
“…13-18) and higher dimensions (Refs. [19][20][21][22][23][24][25][26][27]. Vierbein four-velocity u a = (u a , u 1 , u 2 , u 3 ) and four-velocity of the particle in its geodesic path U µ are related by the following relation: [28][29][30][31]…”
Section: Neutrino Spin Oscillations In Noncommutative Gravitational F...mentioning
confidence: 99%
“…Thus, we will consider the perturbations through a massive scalar field coupled nonminimally with gravity [13,14]. Some efforts in that sense were considered [15][16][17][18][19]. For instance, in [17] it was analyzed the long-lived quasinormal modes and the instability in a Reissner-Nordström spacetime.…”
Section: Introductionmentioning
confidence: 99%