Conformal Gravity and the Alcubierre Warp Drive Metric

Varieschi, Gabriele U.; Burstein, Zily

doi:10.1155/2013/482734

Cited by 13 publications

(13 citation statements)

References 44 publications

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“…In the original papers by Mannheim and Kazanas ([13], [14]), and in the CG wormhole analysis by F. Lobo [28], the computation of the non-zero components of W µν was done indirectly by differentiating the Weyl action I W and using Bianchi and trace identities. In contrast, in this work, we compute all the relevant tensors directly from their definitions, using a specialized Mathematica program, which was developed by one of us for a previous study of the warp drive in CG [24].…”

Section: Conformal Gravity and The Stress-energy Tensormentioning

confidence: 99%

“…A similar, but different approach to conformal gravity and cosmology has been proposed by one of us in a series of papers ( [21], [22], [23], [24], [25], [26]). A new model was introduced that was called kinematical conformal cosmology [21] since it was based on purely kinematic considerations without using any dynamical equation of state for the universe.…”

mentioning

confidence: 99%

“…One of these papers [24] studied in detail the implications of CG in relation to the Alcubierre warp drive metric [27], which is another well-known theoretical mechanism allowing, in principle, for super-luminal motion, i.e., faster-than-light travel. It was shown [24] that, for particular choices of the warp drive shaping function, the main energy conditions are not violated by the warp drive solutions within the framework of conformal gravity.…”

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confidence: 99%

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Wormhole geometries in fourth-order conformal Weyl gravity

Varieschi

Ault

2016

Int. J. Mod. Phys. D

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We present an analysis of the classic wormhole geometries based on conformal Weyl gravity, rather than standard general relativity. The main characteristics of the resulting traversable wormholes remain the same as in the seminal study by Morris and Thorne, namely, that effective super-luminal motion is a viable consequence of the metric.Improving on previous work on the subject, we show that for particular choices of the shape and redshift functions the wormhole metric in the context of conformal gravity does not violate the main energy conditions at or near the wormhole throat.Some exotic matter might still be needed at the junction between our solutions and flat spacetime, but we demonstrate that the averaged null energy condition (as evaluated along radial null geodesics) is satisfied for a particular set of wormhole geometries.Therefore, if fourth-order conformal Weyl gravity is a correct extension of general relativity, traversable wormholes might become a realistic solution for interstellar travel.

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Section: Conformal Gravity and The Stress-energy Tensormentioning

confidence: 99%

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confidence: 99%

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confidence: 99%

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Wormhole geometries in fourth-order conformal Weyl gravity

Varieschi

Ault

2016

Int. J. Mod. Phys. D

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“…(25), without any approximation. The correctness of this expression has been tested with the aid of a Mathematica program, which was developed for other studies in CG [33]. This…”

Section: (23)mentioning

confidence: 99%

Kerr metric, geodesic motion, and Flyby Anomaly in fourth-order Conformal Gravity

Varieschi

2014

Gen Relativ Gravit

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In this paper we analyze the Kerr geometry in the context of Conformal Gravity, an alternative theory of gravitation, which is a direct extension of General Relativity. Following previous studies in the literature, we introduce an explicit expression of the Kerr metric in Conformal Gravity, which naturally reduces to the standard General Relativity Kerr geometry in the absence of Conformal Gravity effects. As in the standard case, we show that the Hamilton-Jacobi equation governing geodesic motion in a space-time based on this geometry is indeed separable and that a fourth constant of motion-similar to Carter's constant-can also be introduced in Conformal Gravity.Consequently, we derive the fundamental equations of geodesic motion and show that the problem of solving these equations can be reduced to one of quadratures.In particular, we study the resulting time-like geodesics in Conformal Gravity Kerr geometry by numerically integrating the equations of motion for Earth flyby trajectories of spacecraft. We then compare our results with the existing data of the Flyby Anomaly in order to ascertain whether Conformal Gravity corrections are possibly the origin of this gravitational anomaly. Although Conformal Gravity slightly affects the trajectories of geodesic motion around a rotating spherical object, we show that these corrections are minimal and are not expected to be the origin of the Flyby Anomaly, unless conformal parameters are drastically different from current estimates. Therefore, our results confirm previous analyses, showing that modifications due to Conformal Gravity are not likely to be detected at the Solar System level, but might affect gravity at the galactic or cosmological scale. PACS numbers: 04.50.Kd; 98.80.Jk; 95.55.Pe

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“…One of the main focuses of this field is to solve the above theoretical puzzles, see for example [16][17][18][19][20][21][22][23][24][25][26].…”

Section: Introductionmentioning

confidence: 99%

Obstacles from interstellar matter and distortion for warp drive travel

Bian¹,

Wang²,

Wang³

et al. 2022

Preprint

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We investigate obstacles of superluminal "warp drive" travels from interactions with interstellar matter and from curvature effects. The effect of collision of interstellar dust particles and photons with the spacecraft will all lead to a pressure proportional to the apparent velocity of the spaceship v s . The force exerted on the spacecraft from the curvature effect has two non-trivial components. The radial and longitudinal components scales as v 2 s and v 4 s respectively. The above obstacles become increasingly important when the spaceship travels at high superluminal speeds.

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Conformal Gravity and the Alcubierre Warp Drive Metric

Cited by 13 publications

References 44 publications

Wormhole geometries in fourth-order conformal Weyl gravity

Wormhole geometries in fourth-order conformal Weyl gravity

Kerr metric, geodesic motion, and Flyby Anomaly in fourth-order Conformal Gravity

Obstacles from interstellar matter and distortion for warp drive travel

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