The Finslerian compact star model

Rahaman, Farook; Paul, Nupur; De, S. S.; Ray, Saibal; Jafry, Md. Abdul Kayum

doi:10.1140/epjc/s10052-015-3797-7

Cited by 22 publications

(12 citation statements)

References 53 publications

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“…The surface density is in the order of 10 14 g cm −3 and the redshift is in the range 0.364-0.515. This range is close to the values found by Böhmer and Harko [27], Rahaman et al [28,29] and Kileba Matondo et al [25]. Also, we could mention that the required upper bound of Buchdahl [20] which is equivalent to Z s ≤ 2 for a realistic star has been fulfilled.…”

Section: Physical Analysissupporting

confidence: 88%

Spherical conformal models for compact stars

et al. 2017

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We consider spherical exact models for compact stars with anisotropic pressures and a conformal symmetry. The conformal symmetry condition generates an integral relationship between the gravitational potentials. We solve this condition to find a new anisotropic solution to the Einstein field equations. We demonstrate that the exact solution produces a relativistic model of a compact star. The model generates stellar radii and masses consistent with PSR J1614-2230, Vela X1, PSR J1903+327 and Cen X-3. A detailed physical examination shows that the model is regular, well behaved and stable. The mass-radius limit and the surface red shift are consistent with observational constraints.

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Section: Physical Analysissupporting

confidence: 88%

Spherical conformal models for compact stars

et al. 2017

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“…The surface density is approximately in the order of 10 14 g cm −3 and the gravitational redshift is in a realistic range (0.4274 ± 0.1492) − (0.518 ± 0.1172). This range is still close to the values found by Böhmer and Harko [45], Rahaman et al [46,47] and Kileba Matondo et al [43]. The value of the stellar radius R is the range of (9.68 ± 0.12) − (10.49 ± 0.19) km, and the mass in the range of (1.63 ± 0.07) − (2.13 ± 0.03) M .…”

Section: Physical Analysissupporting

confidence: 88%

Effect of electric charge on conformal compact stars

Takisa¹,

Maharaj²,

Leeuw³

2019

Eur. Phys. J. C

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We investigate the effect of electric charge in anisotropic compact stars with conformal symmetry. We assume that the pressure and the density of the matter inside the stellar structure are large with strong gravitational fields. The strong electric field produces significant effects on the phenomenology of the stellar objects, in order of 10 20 V m −1 in MKSA units. The conformal symmetry condition produces an integral relationship between the metric functions. We use this condition to find a new anisotropic solution to the Einstein-Maxwell field equations. This solution is relevant in modelling a relativistic compact star. Radii and masses are consistent with stellar objects such PSR J1614-2230, Vela X1, PSR J1903+327 and Cen X-3. The mass-radius ratio and the surface red shift are in agreement with realistic constraints. Also our model displays constraint on the maximum stellar mass, central density and radius for the upper bound redshift requirements.

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“…In a more general context, there are considered nonlinear and linear connection structures, nonholonomic constraints and generalized symmetries, which are different from those in (pseudo) Riemannian geometry. approaches on Finsler gravity theories and attempts to construct physical models and find approximate solutions can be studied in [25,39,40,53,66,67,[84][85][86][87][88][98][99][100]111,112,126,[136][137][138][139]141]. It is considered that readers are familiar with standard results on mathematical relativity, geometry of (non)linear connections in fiber bundles, spinor differential geometry, and exact classical solutions in GR (see, for instance, [48,82,104,213]).…”

Section: Introductionmentioning

confidence: 99%

Axiomatic formulations of modified gravity theories with nonlinear dispersion relations and Finsler–Lagrange–Hamilton geometry

2018

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We develop an axiomatic geometric approach and provide an unconventional review of modified/nonlinear gravity theories, MGTs, with modified dispersion relations, MDRs, encoding Lorentz invariance violations, LIVs, classical and quantum random effects, anisotropies etc. There are studied Lorentz-Finsler like theories elaborated as extensions of general relativity, GR, and quantum gravity, QG, models and constructed on (co)tangent Lorentz bundles, i.e. (curved) phase spaces or locally anisotropic spacetimes. An indicator of MDRs is considered as a functional on various type functions depending on phase space coordinates and physical constants. It determines respective generating functions and fundamental physical objects (generalized metrics, connections and nonholonomic frame structures) for relativistic models of Finsler, Lagrange and/or Hamilton spaces. We show that there are canonical almost symplectic differential forms and adapted (non)linear connections which allow us to formulate equivalent almost Kähler-Lagrange/-Hamilton geometries. This way, it is possible to unify geometrically various classes of (non)commutative MGTs with locally anisotropic gravitational, scalar, non-Abelian gauge field, and Higgs interactions. We elaborate on theories with Lagrangian densities containing massive graviton terms and bi-connection and bi-metric modifications which can be modelled as Finsler-Lagrange-Hamilton geometries. An example of short-range locally anisotropic gravity on (co)tangent Lorentz bundles is analysed. We conclude that a large class of such MGTs admits a self-consistent causal axiomatic formulation which is similar to GR but

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The Finslerian compact star model

Cited by 22 publications

References 53 publications

Spherical conformal models for compact stars

Spherical conformal models for compact stars

Effect of electric charge on conformal compact stars

Axiomatic formulations of modified gravity theories with nonlinear dispersion relations and Finsler–Lagrange–Hamilton geometry

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