Stiff matter solution in Brans–Dicke theory and the general relativity limit

Brando, Guilherme; Fabris, J. C.; Falciano, F. T.; Galkina, Olesya

doi:10.1142/s0218271819501566

Cited by 9 publications

(6 citation statements)

References 47 publications

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“…The perfect uid with p = ρ is a maximally stiff kind of matter compatible with causality, where the velocities of sound and light coincide. This circumstance makes easier nding exact solutions, including wave and inhomogeneous ones [65]; stiff matter also nds various applications in cosmology, see, e.g., [56,251] and references therein.…”

Section: Examples Of Rotating Wormholesmentioning

confidence: 99%

Cylindrical systems in general relativity

Бронников

Santos

Wang

2020

Class. Quantum Grav.

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With the arrival of the era of gravitational wave astronomy, the strong gravitational field regime will be explored soon in various aspects. In this article, we provide a general review over cylindrical systems in Einstein's theory of general relativity. In particular, we first review the general properties, both local and global, of several important solutions of Einstein's field equations, including the Levi-Civita and Lewis solutions and their extensions to include the cosmological constant and matter fields, and pay particular attention to properties that represent the generic features of the theory, such as the formation of the observed extragalactic jets and gravitational Faraday rotation. We also review studies of cylindrical wormholes, gravitational collapse and Hoop conjecture, and polarizations of gravitational waves. In addition, by rigorously defining cylindrically symmetric spacetimes, we clarify various (incorrect) claims existing in the literature, regarding to the generality of such spacetimes.

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Section: Examples Of Rotating Wormholesmentioning

confidence: 99%

Cylindrical systems in general relativity

Бронников

Santos

Wang

2020

Class. Quantum Grav.

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“…In a perfect fluid with the equation of state p = ρ, the speed of sound is equal to the speed of light, which greatly simplifies the equations of motion and has led to obtaining numerous solutions which are either unique or much simpler than their counterparts with other equations of state: see, e.g., [27,33] for a general exposition, [34][35][36][37] for static solutions, [38] for wavy ones, and [39][40][41][42][43] for stationary ones; applications of stiff matter in modern theoretical cosmology can also be mentioned, see, e.g., [44,45]; see also references therein.…”

Section: An Asymptotically Flat Rotating Wormhole Model With Stiff Mattermentioning

confidence: 99%

Rotating Melvin-like Universes and Wormholes in General Relativity

2020

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We find a family of exact solutions to the Einstein–Maxwell equations for rotating cylindrically symmetric distributions of a perfect fluid with the equation of state p=wρ (|w|<1), carrying a circular electric current in the angular direction. This current creates a magnetic field along the z axis. Some of the solutions describe geometries resembling that of Melvin’s static magnetic universe and contain a regular symmetry axis, while some others (in the case w>0) describe traversable wormhole geometries which do not contain a symmetry axis. Unlike Melvin’s solution, those with rotation and a magnetic field cannot be vacuum and require a current. The wormhole solutions admit matching with flat-space regions on both sides of the throat, thus forming a cylindrical wormhole configuration potentially visible for distant observers residing in flat or weakly curved parts of space. The thin shells, located at junctions between the inner (wormhole) and outer (flat) regions, consist of matter satisfying the Weak Energy Condition under a proper choice of the free parameters of the model, which thus forms new examples of phantom-free wormhole models in general relativity. In the limit w→1, the magnetic field tends to zero, and the wormhole model tends to the one obtained previously, where the source of gravity is stiff matter with the equation of state p=ρ.

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“…[27,33] for a general exposition, [34–37] for static solutions, [38] for wavy ones and [39–43] for stationary ones; applications of stiff matter in modern theoretical cosmology can also be mentioned, see, e.g. [44,45]; see also references therein.…”

Section: Cylindrical Symmetry and Phantom-free Modelsmentioning

confidence: 99%

Some unusual wormholes in general relativity

Бронников

2022

Phil. Trans. R. Soc. A.

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In this short review, we present some recently obtained traversable wormhole models in the framework of general relativity (GR) in four and six dimensions that somehow widen our common ideas on wormhole existence and properties. These are, first, rotating cylindrical wormholes, asymptotically flat in the radial direction and existing without exotic matter. The topological censorship theorems are not violated due to lack of asymptotic flatness in all spatial directions. Second, these are cosmological wormholes constructed on the basis of the Lemaître–Tolman–Bondi solution. They connect two copies of a closed Friedmann world filled with dust, or two otherwise distant parts of the same Friedmann world. Third, these are wormholes obtained in six-dimensional GR, whose one entrance is located in ‘our’ asymptotically flat world with very small extra dimensions while the other ‘end’ belongs to a universe with large extra dimensions and therefore different physical properties. The possible observable features of such wormholes are briefly discussed. This article is part of the theme issue ‘The future of mathematical cosmology, Volume 1’.

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Stiff matter solution in Brans–Dicke theory and the general relativity limit

Cited by 9 publications

References 47 publications

Cylindrical systems in general relativity

Cylindrical systems in general relativity

Rotating Melvin-like Universes and Wormholes in General Relativity

Some unusual wormholes in general relativity

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