Thick branes with inner structure in mimetic f(R) gravity

Chen, Jing; Guo, Wen-Di; Liu, Yu-Xiao

doi:10.1140/epjc/s10052-021-09504-y

Cited by 22 publications

(19 citation statements)

References 99 publications

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“…Besides that, it has been proved that the original setting of the mimetic theory forecasts that gravitational wave (GW) propagates at the speed of light, confirming agreement with the results of the event GW170817 and its optical counterpart [41,53]. The mimetic gravity is also generalized to the f (R) mimetic gravity [33,38,40,52,[54][55][56][57][58][59][60][61] and the Gauss-Bonnet mimetic gravity [34,[62][63][64]. Especially, a unified formalism of early inflation and late-time acceleration in the frame of the mimetic f (R) gravity was also constructed in [39] where the authors confirmed the inflationary era in contrast to the f (R) gravity.…”

Section: Introductionsupporting

confidence: 67%

Black holes with Lagrange multiplier and potential in mimetic-like gravitational theory: multi-horizon black holes

Nashed,

Nojiri

2021

Preprint

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In this paper, we employ the mimetic field equations coupled with the Lagrange multiplier and mimetic potential to derive non-trivial spherically symmetric black hole (BH) solutions. We divided this study into three cases: The first one in which we take the Lagrange multiplier and mimetic potential to have vanishing value and derive a BH solution that completely coincides with the BH of the Einstein general relativity despite the non-vanishing value of the mimetic field. The first case is completely consistent with the previous studies in the literature that mimetic theory coincides with GR [1]. In the second case, we derive a solution with a constant value of the mimetic potential and a dynamical value of the Lagrange multiplier. This solution has no horizon and therefore the obtained spacetime does not correspond to the BH. In this solution, there appears the region of the Euclidian signature where the signature of the diagonal components of the metric is (+, +, +, +) or the region with two times where the signature is (+, +, −, −). Finally, we derive a BH solution with non-vanishing values of the Lagrange multiplier, mimetic potential, and mimetic field. This BH shows a soft singularity compared with the Einstein BH solution. The relevant physics of the third case is discussed by showing their behavior of the metric potential at infinity, calculating their energy conditions, and study their thermodynamical quantities. We give a brief discussion on how our third case can generate a BH with three horizons as in the de Sitter-Reissner-Nordström black hole spacetime, where the largest horizon is the cosmological one and two correspond to the outer and inner horizons of the BH. Even in the third case, there appears the region of the Euclidian signature or the region with two times. We give a condition that such unphysical region(s) is hidden inside the black hole horizon and the existence of the region(s) becomes less unphysical. We also study the thermodynamics of the multi-horizon BH and consider the extremal case, where the radii of two horizons coincide with each other. We observe that the Hawking temperature and the heat capacity vanish in the extremal limit. Finally, we would like to stress the fact that in spite that the field equations we use have no cosmological constant our BH solutions of the second and third case behave as AdS/dS.

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Section: Introductionsupporting

confidence: 67%

Black holes with Lagrange multiplier and potential in mimetic-like gravitational theory: multi-horizon black holes

Nashed,

Nojiri

2021

Preprint

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“…To compute the amplitudes of the diagrams shown in Fig. 1, the effective Lagrangian densities related to the final state are required, which are [31]…”

Section: Theoretical Formalismmentioning

confidence: 99%

Strong decays of the $P_{cs}(4459)$ as a $Ξ_c\bar{D}^{*}$ molecule

Yang,

Huang,

Zhu

2021

Preprint

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In this work, we study the strong decay of the newly observed P cs (4459) assuming that it is a pure Ξ c D * molecular state. Considering two possible spin-parity assignments J P = 1/2 − and J P = 3/2 − the partial decay widths of the Ξ c D * molecular state into J/ψΛ, D − s Λ + c , and DΞ ( ′ ) c final states through hadronic loops are evaluated with the help of the effective Lagrangians. In comparison with the LHCb data, the spin-party J P = 1/2 − the assignment is preferred while this of J P = 3/2 − is disfavored. The P cs (4459) in spin-parity J P = 3/2 − case maybe explained as S -wave coupled bound state with lager Ξ c D * component. In addition, the calculated partial decay widths with J P = 1/2 − Ξ c D * molecular state picture indicates that allowed decay mode, DΞ ′ c , may have the biggest branching ratio. The experimental measurements for this strong decay process could be a crucial test for the molecule interpretation of the P cs (4459).

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“…These findings intrigue an active discussion on the structure of these states. A classical way to describe these states is treating them as candidates of meson-baryon molecular pictur [4,5].…”

Section: Introductionmentioning

confidence: 99%

Photoproduction of possible pentaquark states $Λ^0_b(5912)$ and $Λ^0_b(5920)$ in the $γp\to{}Λ_b^{0(*)}B^+$ reactions

Huang,

Zhu

2021

Preprint

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In this work, we report on a theoretical study of possible pentaquark states Λ 0 b (5912) and Λ 0 b (5920) in the γp → Λ 0( * ) b B + reactions within an effective Lagrangian approach. In addition to the contributions from the schannel nucleon pole and t-channel B * − exchange, the contact term contribution are also included. Our theoretical approach is based on the chiral unitary theory where the Λ 0 b (5912) and Λ 0 b (5920) resonances are dynamically generated. Within the coupling constants of the Λ 0 b (5912) and Λ 0 b (5920) to Bp and B * p channels obtained from chiral unitary theory, the total and differential cross sections of the γp → Λ 0( * ) b B + are evaluated. Our calculation indicates that the cross section for γp → Λ 0 b (5912)B + and γp → Λ 0 b (5920)B + reactions are of the order of 0.0164 nb and 0.00527 nb,respectively. If measured in future experiments, such as Electron-Ion Collider in China (EicC) or US(US-EIC), the predicted total cross sections and specific features of the angular distributions can be used to test the (molecular) nature of the Λ 0 b (5912) and Λ 0 b (5920) that they may be pentaquark states.

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Thick branes with inner structure in mimetic f(R) gravity

Abstract: In this paper, we study the structure and gravitational resonances of thick branes generated by a mimetic scalar field in f(R) gravity. We obtain several typical thick brane solutions for $$f(R)=R+\alpha R^2$$ f ( R ) = R + α R … Show more

Cited by 22 publications

References 99 publications

Black holes with Lagrange multiplier and potential in mimetic-like gravitational theory: multi-horizon black holes

Black holes with Lagrange multiplier and potential in mimetic-like gravitational theory: multi-horizon black holes

Strong decays of the $P_{cs}(4459)$ as a $Ξ_c\bar{D}^{*}$ molecule

Photoproduction of possible pentaquark states $Λ^0_b(5912)$ and $Λ^0_b(5920)$ in the $γp\to{}Λ_b^{0(*)}B^+$ reactions

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