# No hair theorems for a static and stationary reflecting star

@article{Bhattacharjee2017NoHT, title={No hair theorems for a static and stationary reflecting star}, author={Srijit Bhattacharjee and Sudipta Sarkar}, journal={Physical Review D}, year={2017}, volume={95}, pages={084027} }

We prove the non existence of massive scalar, vector and tensor hairs outside the surface of a static and stationary compact reflecting star. Our result is the extension of the no hair theorem for black holes to horizonless compact configurations with reflecting boundary condition at the surface. We also generalize the proof for spacetimes with a positive cosmological constant.

## 44 Citations

### No scalar hair in nonminimal derivative coupling model for Neumann and Dirichlet reflecting star

- MathematicsPhysics Letters B
- 2019

### No scalar hair theorem for neutral Neumann stars: Static massive scalar fields nonminimally coupled to gravity

- Physics, MathematicsNuclear Physics B
- 2019

### No hair for spherically symmetric neutral reflecting stars: Nonminimally coupled massive scalar fields

- Physics, Mathematics
- 2017

### No scalar hair behaviors of static massive scalar fields with nodes

- Computer Science, PhysicsThe European Physical Journal C
- 2020

This work analytically obtain a bound on the coupling parameter, and concludes that the static massive scalar field with nodes cannot exist outside the object, independent of surface boundary conditions.

### Stationary scalar hairy configurations supported by Neumann compact stars

- Physics, MathematicsNuclear Physics B
- 2020

### No-go theorem for static boson stars with negative cosmological constants

- Physics, MathematicsNuclear Physics B
- 2020

### Large regular reflecting stars have no scalar field hair

- PhysicsThe European Physical Journal C
- 2019

We investigate the gravity system constructed with static scalar fields coupled to asymptotically flat regular reflecting stars. We consider the matter field’s backreaction on the reflecting star. We…

### Large regular reflecting stars have no scalar field hair

- PhysicsThe European Physical Journal C
- 2019

We investigate the gravity system constructed with static scalar fields coupled to asymptotically flat regular reflecting stars. We consider the matter field’s backreaction on the reflecting star. We…

### No hair theorem for massless scalar fields outside asymptotically flat horizonless reflecting compact stars

- Physics, MathematicsThe European Physical Journal C
- 2019

In a recent paper, Hod started a study on no scalar hair theorem for asymptotically flat spherically symmetric neutral horizonless reflecting compact stars. In fact, Hod’s approach only rules out…

### No-hair theorem for spherically symmetric regular repulsive compact stars.

- Mathematics
- 2019

In a very interesting paper, Hod has proven that asymptotically flat spherically symmetric regular reflecting compact stars cannot support static scalar fields whose self-interaction potential…

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