Dirac stars supported by nonlinear spinor fields

Dzhunushaliev, Vladimir; Folomeev, Vladimir

doi:10.48550/arxiv.1811.07500

Cited by 3 publications

(2 citation statements)

References 25 publications

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“…The study of gravitating generalization of the flat spacetime Q-balls has started with Friedberg et al [20]. The higher spin fields are less studied; GR generalization of the self-interacting spinors were considered only recently by Dzhunushaliev and Folomeev [21], while the gravitating Q-Proca stars have been studied by Brihaye et al [22] and Minamitsuji [23].…”

Section: Introduction and Motivation 1general Remarksmentioning

confidence: 99%

Asymptotically Flat, Spherical, Self-Interacting Scalar, Dirac and Proca Stars

Herdeiro

Radu

2020

Symmetry

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We present a comparative analysis of the self-gravitating solitons that arise in the Einstein–Klein–Gordon, Einstein–Dirac, and Einstein–Proca models, for the particular case of static, spherically symmetric spacetimes. Differently from the previous study by Herdeiro, Pombo and Radu in 2017, the matter fields possess suitable self-interacting terms in the Lagrangians, which allow for the existence of Q-ball-type solutions for these models in the flat spacetime limit. In spite of this important difference, our analysis shows that the high degree of universality that was observed by Herdeiro, Pombo and Radu remains, and various spin-independent common patterns are observed.

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Section: Introduction and Motivation 1general Remarksmentioning

confidence: 99%

Asymptotically Flat, Spherical, Self-Interacting Scalar, Dirac and Proca Stars

Herdeiro

Radu

2020

Symmetry

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“…In Ref. [35], V. Dzhunushaliev and V. Folomeev studied the Dirac stars with self-interaction. More recently, the rotating Dirac stars were first proposed by Brito et al [36].…”

Section: Introductionmentioning

confidence: 99%

Dirac-boson stars

Chen¹,

Ren²,

Sun³

et al. 2022

Preprint

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In this paper, we construct Dirac-boson stars (DBSs) model composed of a scalar field and two Dirac fields. The scalar field and both Dirac fields are in the ground state. We consider the solution families of the DBSs for the synchronized frequency ω and the nonsynchronized frequency ωD cases, respectively. We find several different solutions when the Dirac mass μD and scalar field frequency ωS are taken in some particular ranges. In contrast, no similar case has been found in previous studies of multistate boson stars. Moreover, we discuss the characteristics of each type of solution family of the DBSs and present the relationship between the ADM mass M of the DBSs and the synchronized frequency ω or the nonsynchronized frequency ωD . Finally, we calculate the binding energy E B of the DBSs and investigate the relationship of E B with the synchronized frequency ω or the nonsynchronized frequency ωD .

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Asymptotically flat spinning scalar, Dirac and Proca stars

et al. 2019

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Einstein's gravity minimally coupled to free, massive, classical fundamental fields admits particle-like solutions. These are asymptotically flat, everywhere non-singular configurations that realise Wheeler's concept of a geon: a localised lump of self-gravitating energy whose existence is anchored on the nonlinearities of general relativity, trivialising in the flat spacetime limit. In [1] the key properties for the existence of these solutions (also referred to as stars or self-gravitating solitons) were discussed -which include a harmonic time dependence in the matter field -, and a comparative analysis of the stars arising in the Einstein-Klein-Gordon, Einstein-Dirac and Einstein-Proca models was performed, for the particular case of static, spherically symmetric spacetimes. In the present work we generalise this analysis for spinning solutions. In particular, the spinning Einstein-Dirac stars are reported here for the first time. Our analysis shows that the high degree of universality observed in the spherical case remains when angular momentum is allowed. Thus, as classical field theory solutions, these self-gravitating solitons are rather insensitive to the fundamental fermionic or bosonic nature of the corresponding field, displaying similar features. We describe some physical properties and, in particular, we observe that the angular momentum of the spinning stars satisfies the quantisation condition J = mN, for all models, where N is the particle number and m is an integer for the bosonic fields and a half-integer for the Dirac field. The way in which this quantisation condition arises, however, is more subtle for the non-zero spin fields.

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Dirac stars supported by nonlinear spinor fields

Cited by 3 publications

References 25 publications

Asymptotically Flat, Spherical, Self-Interacting Scalar, Dirac and Proca Stars

Asymptotically Flat, Spherical, Self-Interacting Scalar, Dirac and Proca Stars

Dirac-boson stars

Asymptotically flat spinning scalar, Dirac and Proca stars

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