Gravitoelectromagnetism, Solar System Tests, and Weak-Field Solutions in f (T,B) Gravity with Observational Constraints

Abstract

Gravitomagnetism characterize phenomena in the weak field limit within the context of rotating systems. These are mainly manifested in the geodetic and Lense-Thirring effects. The geodetic effect describes the precession of the spin of a gyroscope in orbit about a massive static central object, while the Lense-Thirring effect expresses the analogous effect for the precession of the orbit about a rotating source. In this work, we explore these effects in the framework of Teleparallel Gravity and investigate how these effects may impact recent and future missions. We find that teleparallel theories of gravity may have an important impact on these effects which may constrain potential models within these theories.

Stability analysis for cosmological models in f(T, B) gravity

“…In this scenario the second and fourth order contributions to f (R) gravity are decoupled while this subclass becomes a particular limit of the arguments T and B, namely f (R) = f (−T + B). f (T, B) gravity is an interesting theory of gravity and has shown promise in terms of solar system tests and the weak field regime [51,54,55], as well as cosmologically both in terms of its theoretical structure [48,48,50,52] and confrontation with observational data [56].…”

A 1% Measurement of the Gravitomagnetic Field of the Earth with Laser-Tracked Satellites

“…We directly provide the result for µ and not, as done in previous measurements of the Lense-Thirring effect, for the combined rate of the RAAN of the three satellites. This combination corresponds to a precession of 50.17 mas/yr 19. We underline that the solution obtained for µ is independent of a possible imprint of the Lense-Thirring effect in the gravitational field coefficients.…”

“…Finally, concerning the three unknowns of the system, the quantities δC ,0 (with = 2 and = 4) represent the mismodeling of the even zonal harmonics of the background model of the Earth's gravitational field, while µ represents the dimensionless Lense-Thirring parameter introduced in Equation ( 2) 18 . Therefore, with this solution, we can remove, from the estimate of µ, the uncertainties that are related to the knowledge of the first two even zonal harmonics 19 . Figure 2 shows the results for the corrections to the quadrupole and octupole coefficients, while, in Figure 3, we show the results for µ, evaluated, for each arc, as a solution of the system of Equation (7).…”

“…This article describes the gravitomagnetic effects on the orbit of artificial satellites around the Earth. However, several papers in the literature are also dedicated to solar system tests of gravitomagnetism [17][18][19][20][21].…”

Minisuperspace Quantization of f(T, B) Cosmology

“…Moreover, in the simple case when f ,BB = 0, the theory reduces to that of f (T) teleparallel gravity [31], thus in this study we shall consider the case where f ,BB = 0. Some recent analysis on f (T, B) gravity can be found in [32][33][34] where in [35] the modified theory is tested for the solution of the H 0 tension.…”