Five-dimensional scalar-vector Kalb-Ramond black holes

Tuan, Q.; Kao, W. F.

doi:10.1103/physrevd.101.044014

Cited by 3 publications

(2 citation statements)

References 77 publications

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“…Before concluding, we would like to mention that the present investigation on cosmological entanglement in presence of Kalb-Ramond (KR) field can be extended to higher dimensions (see [41][42][43][44][45] for some interesting papers working on high dimensional scenarios of the Kalb-Ramond theory). In higher dimensional picture, for example, in a five dimensional braneworld scenario (two brane model), the Kalb-Ramond field is generally considered to propagate in the five dimensional bulk.…”

Section: Quantum Entanglement Between Scalar Particlesmentioning

confidence: 99%

Cosmological quantum entanglement: a possible testbed for the existence of Kalb–Ramond field

Paul¹,

Banerjee²

2020

Class. Quantum Grav.

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In the present paper, we explore the possible effects of a second rank antisymmetric tensor field, known as Kalb–Ramond (KR) field, on cosmological particle production as well as on quantum entanglement for a massive scalar field propagating in a four dimensional FRW spacetime evolves through a symmetric bounce. For this purpose, the scalar field is considered to be coupled with the KR field and also with the Ricci scalar via the term ∼ξRΦ2 (with ξ be the coupling). The presence of KR field spoils the conformal symmetry of a massless scalar field even for ξ = 1/6 in four dimensional context, which has interesting consequences on particle production and consequently on quantum entanglement as we will discuss. In particular, the presence of KR field in an FRW bouncing Universe allows a greater particle production and consequently the upper bound of the entanglement entropy becomes larger in comparison to the case when the KR field is absent. This may provide an interesting testbed for the existence of Kalb–Ramond field in our Universe.

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Section: Quantum Entanglement Between Scalar Particlesmentioning

confidence: 99%

Cosmological quantum entanglement: a possible testbed for the existence of Kalb–Ramond field

Paul¹,

Banerjee²

2020

Class. Quantum Grav.

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“…Other physical and cosmological implications of two-form field can be found in Refs. [59][60][61][62][63][64][65][66][67][68][69].…”

Section: Introductionmentioning

confidence: 99%

Anisotropic power-law inflation for models of non-canonical scalar fields non-minimally coupled to a two-form field

Pham,

Nguyen,

et al. 2024

Eur. Phys. J. C

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In this paper, we investigate the validity of the so-called cosmic no-hair conjecture in the framework of anisotropic inflation models of non-canonical scalar fields non-minimally coupled to a two-form field. In particular, we focus on two typical k-inflation and Dirac–Born–Infeld inflation models, in which we find a set of exact anisotropic power-law inflationary solutions. Interestingly, these solutions are shown to be stable and attractive during an inflationary phase using the dynamical system analysis. The obtained results indicate that the non-minimal coupling between the scalar and two-form fields acts as a non-trivial source of generating stable spatial anisotropies during the inflationary phase and therefore violates the prediction of the cosmic no-hair conjecture, even when the scalar field is of non-canonical forms. In connection with the Planck 2018 data, tensor-to-scalar ratios of these anisotropic solutions are investigated. As a result, it appears that the tensor-to-scalar ratio of the anisotropic power-law inflationary solution of k-inflation model turns out to be more highly consistent with the Planck 2018 data than that of Dirac-Born-Infeld model.

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Antisymmetric Tensor Fields in Modified Gravity: A Summary

Paul

2020

Symmetry

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We provide various aspects of second rank antisymmetric Kalb–Ramond (KR) field in modified theories of gravity. The KR field energy density is found to decrease with the expansion of our universe at a faster rate in comparison to radiation and matter components. Thus as the universe evolves and cools down, the contribution of the KR field on the evolutionary process reduces significantly, and at present it almost does not affect the universe evolution. However the KR field has a significant contribution during early universe; in particular, it affects the beginning of inflation as well as increases the amount of primordial gravitational radiation and hence enlarges the value of tensor-to-scalar ratio in respect to the case when the KR field is absent. In regard to the KR field couplings, it turns out that in four dimensional higher curvature inflationary model the couplings of the KR field to other matter fields is given by 1/MPl (where MPl is known as the “reduced Planck mass” defined by MPl=18πG with G is the “Newton’s constant”) i.e., same as the usual gravity–matter coupling; however in the context of higher dimensional higher curvature model the KR couplings get an additional suppression over 1/MPl. Thus in comparison to the four dimensional model, the higher curvature braneworld scenario gives a better explanation of why the present universe carries practically no footprint of the Kalb–Ramond field. The higher curvature term in the higher dimensional gravitational action acts as a suitable stabilizing agent in the dynamical stabilization mechanism of the extra dimensional modulus field from the perspective of effective on-brane theory. Based on the evolution of KR field, one intriguing question can be—“sitting in present day universe, how do we confirm the existence of the Kalb–Ramond field which has considerably low energy density (with respect to the other components) in our present universe but has a significant impact during early universe?” We try to answer this question by the phenomena “cosmological quantum entanglement” which indeed carries the information of early universe. Finally, we briefly discuss some future perspectives of Kalb–Ramond cosmology at the end of the paper.

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Five-dimensional scalar-vector Kalb-Ramond black holes

Cited by 3 publications

References 77 publications

Cosmological quantum entanglement: a possible testbed for the existence of Kalb–Ramond field

Cosmological quantum entanglement: a possible testbed for the existence of Kalb–Ramond field

Anisotropic power-law inflation for models of non-canonical scalar fields non-minimally coupled to a two-form field

Antisymmetric Tensor Fields in Modified Gravity: A Summary

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