## “Physical Properties of (3+1)-D Gravastar in Massive Gravity”

arXiv:2404.05761v1 Announce Type: new

Abstract: The physical properties of a (3+1)-D gravastar in the context of massive gravity are discussed in this work. In present investigation, the field equations have been solved for a static, uncharged sphere in order to achieve the gravastar model as proposed by Mazur and Mottola [Mazur and Mottola in Report No. LA-UR-01-5067,(2001); Mazur and Mottola, {em Proc Natl Acad Sci} USA 101:9545, (2004)]. We address length of thin shell, energy, and entropy for the thin shell containing an ultra-relativistic stiff fluid. Israel matching criteria are used to ensure that the inner and outside geometries join smoothly. It turns out that the behavior of the gravastar is entirely altered by the existence of the graviton mass. Particularly, when $mrightarrow0$, our findings precisely matched the outcomes of general relativity.

## Physical Properties of (3+1)-D Gravastar in Massive Gravity

This article discusses the physical properties of a (3+1)-D gravastar in the context of massive gravity. The authors solve the field equations for a static, uncharged sphere to achieve the gravastar model proposed by Mazur and Mottola. The length of the thin shell, energy, and entropy of the thin shell containing an ultra-relativistic stiff fluid are addressed. The Israel matching criteria are employed to ensure smooth joining of the inner and outside geometries. The major conclusion of the study is that the behavior of the gravastar is significantly influenced by the existence of the graviton mass, with outcomes closely matching general relativity when the mass approaches zero.

## Roadmap for the Future

While this study sheds light on the physical properties of gravastars in the context of massive gravity, there are still several challenges and opportunities on the horizon for further research.

### 1. Testing Experimental Predictions

The findings of this study can be tested experimentally to verify the existence and behavior of gravastars in massive gravity. Future experiments should aim to observe the predicted length of the thin shell, energy, and entropy, and compare them with the theoretical calculations.

### 2. Extending the Model

The current study considers a static, uncharged sphere as the basis for the gravastar model. However, future research could explore the effects of introducing additional variables such as rotation or charge, which may further impact the physical properties of gravastars in massive gravity.

### 3. Exploring Different Equations of State

The study assumes an ultra-relativistic stiff fluid for the thin shell. Examining different equations of state and their effects on the physical properties of gravastars could provide additional insights into the nature of these objects in massive gravity.

### 4. Investigating Astrophysical Significance

Gravastars have been proposed as alternatives to black holes, with potential implications for astrophysics. Further research could explore the astrophysical significance of gravastars in the context of massive gravity, comparing their properties and behavior with those of black holes and other compact objects.

### 5. The Impact of Graviton Mass

The study highlights the significant influence of graviton mass on the behavior of gravastars. Investigating the implications of different graviton masses and exploring their effects on other astrophysical phenomena could provide a deeper understanding of the role of gravitons in gravity.

## Conclusion

This article provides insights into the physical properties of (3+1)-D gravastars in the framework of massive gravity. The study emphasizes the influence of graviton mass on the behavior of gravastars and highlights the need for further research to test experimental predictions, expand the model, explore different equations of state, investigate astrophysical significance, and understand the impact of graviton mass. By addressing these challenges and opportunities, future research can advance our understanding of gravastars and their role in the universe.