We perform observational confrontation and cosmographic analysis of
$f(T,T_G)$ gravity and cosmology. This higher-order torsional gravity is based
on both the torsion scalar, as well as on the teleparallel equivalent of the
Gauss-Bonnet combination, and gives rise to an effective dark-energy sector
which depends on the extra torsion contributions. We employ observational data
from the Hubble function and Supernova Type Ia Pantheon datasets, applying a
Markov Chain Monte Carlo sampling technique, and we provide the iso-likelihood
contours, as well as the best-fit values for the parameters of the power-law
model. Additionally, we reconstruct the effective dark-energy equation-of-state
parameter, which exhibits a quintessence-like behavior, while in the future the
Universe enters into the phantom regime, before it tends asymptotically to the
cosmological constant value. Furthermore, we perform a detailed cosmographic
analysis, examining the deceleration, jerk, snap and lerk parameters, showing
that the transition to acceleration occurs in the redshift range $ 0.52 leq
z_{tr} leq 0.89 $, as well as the preference of the scenario for
quintessence-like behavior. Finally, we apply the Om diagnostic analysis, as a
cross-verification of the obtained behavior.
The article examines the implications of $f(T,T_G)$ gravity and cosmology on the dark-energy sector and provides a roadmap for future research in this field. It utilizes observational data from the Hubble function and Supernova Type Ia Pantheon datasets and employs a Markov Chain Monte Carlo sampling technique to determine the best-fit values for the parameters of the power-law model.
The article also reconstructs the effective dark-energy equation-of-state parameter, which demonstrates a quintessence-like behavior. In the future, the Universe is predicted to enter into the phantom regime before eventually tending towards the cosmological constant value.
The cosmographic analysis performed in the article examines various parameters such as deceleration, jerk, snap, and lerk. The analysis reveals that the transition to acceleration occurs within the redshift range of [openai_gpt model=”gpt-3.5-turbo-16k” max_tokens=”3000″ temperature=”1″ prompt=”Examine the conclusions of the following text and outline a future roadmap for readers, indicating potential challenges and opportunities on the horizon. The article should be formatted as a standalone HTML content block, suitable for embedding in a WordPress post. Use only the following HTML tags:
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. Exclude all other HTML tags, including those for page structure: We perform observational confrontation and cosmographic analysis of
$f(T,T_G)$ gravity and cosmology. This higher-order torsional gravity is based
on both the torsion scalar, as well as on the teleparallel equivalent of the
Gauss-Bonnet combination, and gives rise to an effective dark-energy sector
which depends on the extra torsion contributions. We employ observational data
from the Hubble function and Supernova Type Ia Pantheon datasets, applying a
Markov Chain Monte Carlo sampling technique, and we provide the iso-likelihood
contours, as well as the best-fit values for the parameters of the power-law
model. Additionally, we reconstruct the effective dark-energy equation-of-state
parameter, which exhibits a quintessence-like behavior, while in the future the
Universe enters into the phantom regime, before it tends asymptotically to the
cosmological constant value. Furthermore, we perform a detailed cosmographic
analysis, examining the deceleration, jerk, snap and lerk parameters, showing
that the transition to acceleration occurs in the redshift range $ 0.52 leq
z_{tr} leq 0.89 $, as well as the preference of the scenario for
quintessence-like behavior. Finally, we apply the Om diagnostic analysis, as a
cross-verification of the obtained behavior.”].52 leq z_{tr} leq 0.89$. The scenario also displays a preference for quintessence-like behavior.
To cross-verify the obtained results, the article applies the Om diagnostic analysis. This analysis serves as an additional verification of the behavior exhibited by the dark-energy sector under $f(T,T_G)$ gravity.
Future Roadmap
While this study provides valuable insights into $f(T,T_G)$ gravity and cosmology, there are several challenges and opportunities that lie ahead for future research in this field.
Challenges
- Extended Observational Data: The article utilized data from the Hubble function and Supernova Type Ia Pantheon datasets. However, incorporating additional observations from other astronomical sources can enhance the accuracy and robustness of the findings.
- Theoretical Refinement: The $f(T,T_G)$ gravity and cosmology framework can be further developed and refined. Exploring different theoretical models and improving upon the existing ones can yield a more comprehensive understanding of the dark-energy sector.
- Alternative Analysis Techniques: While the Markov Chain Monte Carlo sampling technique provided valuable results, employing alternative analysis techniques can help validate and strengthen the conclusions drawn in this study.
Opportunities
- Cosmic Microwave Background Radiation: Incorporating data from the Cosmic Microwave Background radiation can provide additional insights into $f(T,T_G)$ gravity and cosmology. The analysis of this dataset can contribute to a broader understanding of the dark-energy sector and its behavior.
- Simulations and Numerical Models: Performing simulations and numerical modeling based on $f(T,T_G)$ gravity and cosmology can facilitate a deeper exploration of the subject. These models can be used to test and validate the findings obtained from observational data.
- Multidisciplinary Collaborations: Collaborations between researchers from different disciplines, such as astrophysics, cosmology, and theoretical physics, can lead to novel approaches and perspectives on $f(T,T_G)$ gravity and cosmology. This interdisciplinary collaboration can open up new avenues for investigation.
In conclusion, the article explores the implications of $f(T,T_G)$ gravity and cosmology on the dark-energy sector. It provides insights into the behavior of the effective dark-energy equation-of-state parameter and various cosmographic parameters. However, future research should address challenges like extended observational data and theoretical refinement while taking advantage of opportunities such as incorporating Cosmic Microwave Background radiation data and fostering multidisciplinary collaborations.
- ,
- , ,
. Exclude all other HTML tags, including those for page structure: We perform observational confrontation and cosmographic analysis of
$f(T,T_G)$ gravity and cosmology. This higher-order torsional gravity is based
on both the torsion scalar, as well as on the teleparallel equivalent of the
Gauss-Bonnet combination, and gives rise to an effective dark-energy sector
which depends on the extra torsion contributions. We employ observational data
from the Hubble function and Supernova Type Ia Pantheon datasets, applying a
Markov Chain Monte Carlo sampling technique, and we provide the iso-likelihood
contours, as well as the best-fit values for the parameters of the power-law
model. Additionally, we reconstruct the effective dark-energy equation-of-state
parameter, which exhibits a quintessence-like behavior, while in the future the
Universe enters into the phantom regime, before it tends asymptotically to the
cosmological constant value. Furthermore, we perform a detailed cosmographic
analysis, examining the deceleration, jerk, snap and lerk parameters, showing
that the transition to acceleration occurs in the redshift range $ 0.52 leq
z_{tr} leq 0.89 $, as well as the preference of the scenario for
quintessence-like behavior. Finally, we apply the Om diagnostic analysis, as a
cross-verification of the obtained behavior.”].52 leq z_{tr} leq 0.89$. The scenario also displays a preference for quintessence-like behavior.To cross-verify the obtained results, the article applies the Om diagnostic analysis. This analysis serves as an additional verification of the behavior exhibited by the dark-energy sector under $f(T,T_G)$ gravity.
Future Roadmap
While this study provides valuable insights into $f(T,T_G)$ gravity and cosmology, there are several challenges and opportunities that lie ahead for future research in this field.
Challenges
- Extended Observational Data: The article utilized data from the Hubble function and Supernova Type Ia Pantheon datasets. However, incorporating additional observations from other astronomical sources can enhance the accuracy and robustness of the findings.
- Theoretical Refinement: The $f(T,T_G)$ gravity and cosmology framework can be further developed and refined. Exploring different theoretical models and improving upon the existing ones can yield a more comprehensive understanding of the dark-energy sector.
- Alternative Analysis Techniques: While the Markov Chain Monte Carlo sampling technique provided valuable results, employing alternative analysis techniques can help validate and strengthen the conclusions drawn in this study.
Opportunities
- Cosmic Microwave Background Radiation: Incorporating data from the Cosmic Microwave Background radiation can provide additional insights into $f(T,T_G)$ gravity and cosmology. The analysis of this dataset can contribute to a broader understanding of the dark-energy sector and its behavior.
- Simulations and Numerical Models: Performing simulations and numerical modeling based on $f(T,T_G)$ gravity and cosmology can facilitate a deeper exploration of the subject. These models can be used to test and validate the findings obtained from observational data.
- Multidisciplinary Collaborations: Collaborations between researchers from different disciplines, such as astrophysics, cosmology, and theoretical physics, can lead to novel approaches and perspectives on $f(T,T_G)$ gravity and cosmology. This interdisciplinary collaboration can open up new avenues for investigation.
In conclusion, the article explores the implications of $f(T,T_G)$ gravity and cosmology on the dark-energy sector. It provides insights into the behavior of the effective dark-energy equation-of-state parameter and various cosmographic parameters. However, future research should address challenges like extended observational data and theoretical refinement while taking advantage of opportunities such as incorporating Cosmic Microwave Background radiation data and fostering multidisciplinary collaborations.
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