# Compact star in Tolman–Kuchowicz spacetime in the background of Einstein–Gauss–Bonnet gravity

@article{Bhar2019CompactSI, title={Compact star in Tolman–Kuchowicz spacetime in the background of Einstein–Gauss–Bonnet gravity}, author={Piyali Bhar and Ksh. Newton Singh and Francisco Tello-Ortiz}, journal={The European Physical Journal C}, year={2019} }

The present work is devoted to the study of anisotropic compact matter distributions within the framework of five-dimensional Einstein–Gauss–Bonnet gravity. To solve the field equations, we have considered that the inner geometry is described by Tolman–Kuchowicz spacetime. The Gauss–Bonnet Lagrangian $$\mathcal {L}_{GB}$$LGB is coupled to the Einstein–Hilbert action through a coupling constant, namely $$\alpha $$α. When this coupling tends to zero general relativity results are recovered. We…

## 14 Citations

### Charged compact star in f(R, T) gravity in Tolman–Kuchowicz spacetime

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- 2021

In this current study, our main focus is on modeling the specific charged compact star SAX J 1808.4-3658 (M = 0.88 $$M_{\odot }$$
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modified…

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### Compact stellar model in Tolman space-time in presence of pressure anisotropy

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We present here a new class of singularity free interior solutions relevant for the description of realistic anisotropic compact stellar objects with spherically symmetric matter distribution. In…

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In the description of neutron stars, it is very important to consider gravitational theories as general relativity, due to the determining influence on the behavior of the different types of stars,…

### Anisotropic compact objects with Finch–Skea geometry in EGB gravity

- PhysicsThe European Physical Journal C
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We present a new class of relativistic anisotropic stellar models with spherically symmetric matter distribution in Einstein Gauss–Bonnet (EGB) gravity. A higher dimensional Finch–Skea geometry in…

### Some New Models of Strange Stars in 5-D Einstein-Gauss-Bonnet Gravity

- Physics
- 2021

In this paper, we present some new models for anisotropic compact stars within the framework of 5-dimensional Einstein-Gauss-Bonnet (EGB) gravity with a linear and nonlinear equation of state…

## References

SHOWING 1-10 OF 69 REFERENCES

### Generalized spheroidal spacetimes in 5-D Einstein–Maxwell–Gauss–Bonnet gravity

- Physics
- 2017

The field equations for static EGBM gravity are obtained and transformed to an equivalent form through a coordinate redefinition. A form for one of the metric potentials that generalizes the…

### Anisotropic strange stars in Tolman–Kuchowicz spacetime

- PhysicsThe European Physical Journal C
- 2018

We attempt to study a singularity-free model for the spherically symmetric anisotropic strange stars under Einstein’s general theory of relativity by exploiting the Tolman–Kuchowicz (Tolman in Phys…

### Charged anisotropic strange stars in general relativity

- PhysicsThe European Physical Journal C
- 2019

The present paper provides a new exact and analytic solution of the Einstein–Maxwell field equations describing compact anisotropic charged stars satisfying the MIT bag model equation of state for…

### General Gauss-Bonnet brane cosmology

- Physics
- 2002

We consider five-dimensional spacetimes of constant three-dimensional spatial curvature in the presence of a bulk cosmological constant. We find the general solution of such a configuration in the…

### Buchdahl’s inequality in five dimensional Gauss–Bonnet gravity

- Physics
- 2015

The Buchdahl limit for static spherically symmetric isotropic stars is generalised to the case of five dimensional Gauss–Bonnet gravity. Our result depends on the sign of the Gauss–Bonnet coupling…

### Role of pressure anisotropy on relativistic compact stars

- Physics
- 2018

We investigate a compact spherically symmetric relativistic body with anisotropic particle pressure profiles. The distribution possesses characteristics relevant to modeling compact stars within the…

### FRIEDMANN–ROBERTSON–WALKER BRANE COSMOLOGICAL EQUATIONS FROM THE FIVE-DIMENSIONAL BULk (A)dS BLACK HOLE

- Physics
- 2002

In the first part of this work we review the equations of motion for the brane presented in Friedmann–Robertson–Walker (FRW) form, when the bulk is five-dimensional (A)dS Black Hole. The spacelike…

### Generalized Misner-Sharp quasi-local mass in Einstein-Gauss-Bonnet gravity

- Physics, Mathematics
- 2008

We investigate properties of a quasi-local mass in a higher-dimensional spacetime having symmetries corresponding to the isomertries of an $(n-2)$-dimensional maximally symmetric space in…

### Exact barotropic distributions in Einstein-Gauss-Bonnet gravity

- Physics
- 2015

New exact solutions to the field equations in the Einstein--Gauss--Bonnet modified theory of gravity for a 5--dimensional spherically symmetric static distribution of a perfect fluid is obtained. The…

### Exact EGB models for spherical static perfect fluids

- Physics, Mathematics
- 2015

We obtain a new exact solution to the field equations for a 5-dimensional spherically symmetric static distribution in the Einstein–Gauss–Bonnet modified theory of gravity. By using a transformation,…